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Studies on left-invariant geometric structures by submanifold theory

Research Project

Project/Area Number 26287012
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Geometry
Research InstitutionOsaka City University (2018)
Hiroshima University (2014-2017)

Principal Investigator

Tamaru Hiroshi  大阪市立大学, 大学院理学研究科, 教授 (50306982)

Co-Investigator(Kenkyū-buntansha) 澁谷 一博  広島大学, 理学研究科, 准教授 (00569832)
奥田 隆幸  広島大学, 理学研究科, 講師 (40725131)
阿賀岡 芳夫  広島大学, 理学研究科, 教授 (50192894)
Project Period (FY) 2014-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥11,180,000 (Direct Cost: ¥8,600,000、Indirect Cost: ¥2,580,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords対称空間 / 部分多様体 / リー群 / 左不変計量 / 幾何構造 / 幾何学 / 左不変幾何構造 / 微分幾何
Outline of Final Research Achievements

We have had progresses on submanifold geometry of symmetric spaces, left-invariant geometric structures, and their fusional studies. In particular, for left-invariant Riemannin metrics, several papers which construct the basic of our study have been published. Moreover, we also constructed similar frameworks for other left-invariant geometric structures, described the moduli space of left-invariant Lorentzian metrics on some particular nilpotent Lie groups, and establish a method to examine the existence and nonexistence of left-invariant symplectic structures on a given Lie group.

Academic Significance and Societal Importance of the Research Achievements

左不変な幾何構造と部分多様体論を繋ぐ研究は我々の独自のものであり,そのような研究を創出することは学術的な意義をもつもとだと考える。特に,新しい分野において新しい問題を提出したことは,今後の数学の発展にも寄与するものと考える。

Report

(6 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report

Research Products

(107 results)

All 2019 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (7 results) Journal Article (45 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 34 results,  Acknowledgement Compliant: 10 results,  Open Access: 3 results) Presentation (50 results) (of which Int'l Joint Research: 22 results,  Invited: 39 results) Book (3 results) Remarks (1 results) Funded Workshop (1 results)

  • [Int'l Joint Research] Universidade de Santiago de Compostela(スペイン)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Chonnam National University(韓国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Universidade de Santiago de Compostela(スペイン)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Chonnam National University(韓国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] King's College London(英国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] King's College London(英国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Chonnam National University(韓国)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces2018

    • Author(s)
      Jong Taek Cho, Takahiro Hashinaga, Akira Kubo, Yuichiro Taketomi, Hiroshi Tamaru
    • Journal Title

      Journal of Geometry and Physics

      Volume: 123 Pages: 221-234

    • DOI

      10.1016/j.geomphys.2017.08.013

    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the nonexistence of left-invariant Ricci solitons --- a conjecture and examples2018

    • Author(s)
      Yuichiro Taketomi, Hiroshi Tamaru
    • Journal Title

      Transformation Groups

      Volume: 23 Pages: 257-270

    • DOI

      10.1007/s00031-017-9439-4

    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Curvature properties of homogeneous real hypersurfaces in nonflat complex space forms2018

    • Author(s)
      Sadahiro Maeda, Hiroshi Tamaru, Hiromasa Tanabe
    • Journal Title

      KMJ

      Volume: 41 Issue: 2 Pages: 315-331

    • DOI

      10.2996/kmj/1530496844

    • NAID

      130007402838

    • ISSN
      0386-5991, 1881-5472
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 対称空間論の離散化とカンドル代数, Part III2018

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      第35回代数的組合せ論シンポジウム記録集

      Volume: 35

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 球面と双曲平面のタイリング2018

    • Author(s)
      Yoshio Agaoka
    • Journal Title

      第35回代数的組合せ論シンポジウム記録集

      Volume: 35

    • Related Report
      2018 Annual Research Report
  • [Journal Article] 複素旗多様体内の実形の交叉の対蹠性と Floer ホモロジー2018

    • Author(s)
      Takayuki Okuda
    • Journal Title

      第65回幾何学シンポジウム予稿集

      Volume: 65

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Three-dimensional solvsolitons and the minimality of the corresponding submanifolds2017

    • Author(s)
      Takahiro Hashinaga, Hiroshi Tamaru
    • Journal Title

      International Journal of Mathematics

      Volume: 28 Pages: 1750048-1750048

    • DOI

      10.1142/s0129167x17500483

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The solvable models of noncompact real two-plane Grassmannians and some applications2017

    • Author(s)
      Jong Taek Cho, Takahiro Hashinaga, Akira Kubo, Yuichiro Taketomi, Hiroshi Tamaru
    • Journal Title

      Hermitian-Grassmannian Submanifolds, Springer Proc. Math. Stat.

      Volume: 203

    • DOI

      10.1007/978-981-10-5556-0_26

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Some conjectures concerning irreducible components of harmonic polynomials in the case of so(d,2)2017

    • Author(s)
      R. Wada, Y. Agaoka
    • Journal Title

      Series of Monographs of Contemporary Social Systems Solutions

      Volume: 9

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Abundance of nilpotent orbits in real semisimple Lie algebras2017

    • Author(s)
      Takayuki Okuda
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: 24

    • NAID

      120006903628

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geodesics of Riemannian symmetric spaces included in reflective submanifolds2017

    • Author(s)
      Takayuki Okuda
    • Journal Title

      Contemporary Perspectives in Differential Geometry and its Related Fields

      Volume: なし

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geodesics of Riemannian symmetric spaces included in reflective submanifolds2017

    • Author(s)
      Takayuki Okuda
    • Journal Title

      Proceedings of the 5th International Colloquium on Differential Geometry and its Related Fields

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Type-changing PDE and singularities of Monge characteristic systems2017

    • Author(s)
      Noda, T. and Shibuya, K.
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Milnor-type theorems for left-invariant Riemannian metrics on Lie groups2016

    • Author(s)
      Takahiro Hashinaga, Hiroshi Tamaru, Kazuhiro Terada
    • Journal Title

      J. Math. Soc. Japan

      Volume: 68 Issue: 2 Pages: 669-684

    • DOI

      10.2969/jmsj/06820669

    • NAID

      130006887138

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On classification of quandles of cyclic type2016

    • Author(s)
      Seiichi Kamada, Hiroshi Tamaru, Koshiro Wada
    • Journal Title

      Tokyo J. Math.

      Volume: 39 Pages: 157-171

    • DOI

      10.3836/tjm/1459367262

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] The space of left-invariant Riemannian metrics2016

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      Geometry and Topology of Manifolds, Springer Proc. Math. Stat.

      Volume: 154 Pages: 315-326

    • DOI

      10.1007/978-4-431-56021-0_17

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Flat connected finite quandles2016

    • Author(s)
      Yoshitaka Ishihara, Hiroshi Tamaru
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 144 Pages: 4959-4971

    • DOI

      10.1090/proc/13095

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] HOMOGENEOUS RICCI SOLITON HYPERSURFACES IN THE COMPLEX HYPERBOLIC SPACES2016

    • Author(s)
      Takahiro Hashinaga, Akira Kubo, Hiroshi Tamaru
    • Journal Title

      Tohoku Math. J.

      Volume: 68 Issue: 4 Pages: 559-568

    • DOI

      10.2748/tmj/1486177215

    • NAID

      130008144991

    • ISSN
      0040-8735, 2186-585X
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the moduli spaces of left-invariant pseudo-Riemannian metrics on Lie groups2016

    • Author(s)
      Akira Kubo, Kensuke Onda, Yuichiro Taketomi, Hiroshi Tamaru
    • Journal Title

      Hiroshima Math. J.

      Volume: 46

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Proper SL(2;R)-actions on homogeneous spaces2016

    • Author(s)
      Maciej Bochenski, Piotr Jastrzebski, Takayuki Okuda, Aleksy Tralle
    • Journal Title

      Internat. J. Math.

      Volume: 27 Pages: 1650106-10

    • DOI

      10.1142/s0129167x16501068

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces2016

    • Author(s)
      Takahiro Hashinaga, Akira Kubo, Hiroshi Tamaru
    • Journal Title

      Tohoku Math. J.

      Volume: 印刷中

    • NAID

      130008144991

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The space of left-invariant Riemannian metrics2016

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      Geometry and Topology of Manifolds, Springer Proceedings in Mathematics & Statistics

      Volume: 印刷中

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homogeneous space with non virtually abelian discontinuous groups but without any proper SL(2,R)-action2016

    • Author(s)
      Takayuki Okuda
    • Journal Title

      Internat. J. Math.

      Volume: 27 Pages: 1650018-1650018

    • DOI

      10.1142/s0129167x1650018x

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some remarks on cubature formulas with linear operators2016

    • Author(s)
      Masatake Hirao, Takayuki Okuda, Masanori Sawa
    • Journal Title

      J. Math. Soc. Japan

      Volume: 68 Issue: 2 Pages: 711-735

    • DOI

      10.2969/jmsj/06820711

    • NAID

      130006887144

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 42016

    • Author(s)
      Takayuki Okuda, Wei-Hsuan Yu
    • Journal Title

      European J. Combin.

      Volume: 53

    • DOI

      10.1016/j.ejc.2015.11.003

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Explicit irreducible decomposition of harmonic polynomials in the case of so(p,2)2016

    • Author(s)
      R. Wada, Y. Agaoka
    • Journal Title

      Contemporary Works in Economic Sciences

      Volume: 7

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Heesch 数について --- タイリングできないタイル2016

    • Author(s)
      阿賀岡芳夫
    • Journal Title

      研究会「直観幾何学2016」講演アブストラクト

      Volume: なし

    • Related Report
      2015 Annual Research Report
  • [Journal Article] A variational problem for curves on Riemann-Finsler surfaces2016

    • Author(s)
      Sabau, S.V., Shibuya, K.
    • Journal Title

      J. Aust. Math. Soc.

      Volume: 印刷中

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The space of left-invariant Riemannian metrics2016

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      Springer Proceedings in Mathematics & Statistics

      Volume: 印刷中

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Moment maps and isoparametric hypersurfaces in spheres --- Hermitian cases2015

    • Author(s)
      Shinobu Fujii, Hiroshi Tamaru
    • Journal Title

      Transf. Groups

      Volume: 印刷中 Pages: 417-436

    • DOI

      10.1007/s00031-015-9305-1

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 対称空間論の離散化とカンドル代数, Part II2015

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      研究集会「部分多様体論・湯沢 2014」記録集

      Volume: 無

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Naturally reductive homogeneous real hypersurfaces in a nonflat complex space form2015

    • Author(s)
      Sadahiro Maeda, Hiroshi Tamaru
    • Journal Title

      Topology Appl.

      Volume: 196 Pages: 675-683

    • DOI

      10.1016/j.topol.2014.01.020

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Smallest complex nilpotent orbits with real points2015

    • Author(s)
      Takayuki Okuda
    • Journal Title

      J. Lie Theory

      Volume: 25

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spherical designs of harmonic index t2015

    • Author(s)
      Eiichi Bannai, Takayuki Okuda, Makoto Tagami
    • Journal Title

      J. Approx. Theory

      Volume: 195 Pages: 1-18

    • DOI

      10.1016/j.jat.2014.06.010

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] リーマン対称空間中の全測地的曲面と冪零軌道2015

    • Author(s)
      久保亮, 間下克哉, 奥田隆幸, 田丸博士
    • Journal Title

      研究集会「部分多様体幾何とリー群作用 2015」予稿集

      Volume: なし

    • Related Report
      2015 Annual Research Report
  • [Journal Article] 曲面群と同型な基本群を持つ擬リーマン局所対称空間について2015

    • Author(s)
      奥田隆幸
    • Journal Title

      研究集会「リーマン面に関連する位相幾何学」予稿集

      Volume: なし

    • Related Report
      2015 Annual Research Report
  • [Journal Article] アソシエーションスキームの商集合についての Delsarte 理論2015

    • Author(s)
      奥田隆幸
    • Journal Title

      第32回代数的組合せ論シンポジウム講究録

      Volume: なし

    • Related Report
      2015 Annual Research Report
  • [Journal Article] 対称空間論の離散化とカンドル代数, Part I2015

    • Author(s)
      田丸 博士
    • Journal Title

      Geometry and Analysis (福岡大学微分幾何研究会 2014 記録集)

      Volume: 1 Pages: 99-107

    • Related Report
      2014 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Naturally reductive homogeneous real hypersurfaces in a nonflat complex space form2015

    • Author(s)
      Sadahiro Maeda, Hiroshi Tamaru
    • Journal Title

      Topology Appl. (Special Issues)

      Volume: 印刷中

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Milnor-type theorems for left-invariant Riemannian metrics on Lie groups2015

    • Author(s)
      Takahiro Hashinaga, Hiroshi Tamaru, Kazuhiro Terada
    • Journal Title

      J. Math. Soc. Japan

      Volume: 印刷中

    • NAID

      130006887138

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 対称空間論の離散化とカンドル代数, Part II2015

    • Author(s)
      田丸 博士
    • Journal Title

      研究集会「部分多様体論・湯沢 2014」記録集

      Volume: 19

    • Related Report
      2014 Annual Research Report
    • Open Access
  • [Journal Article] On totally geodesic surfaces in symmetric spaces of type AI2014

    • Author(s)
      Takuya Fujimaru, Akira Kubo, Hiroshi Tamaru
    • Journal Title

      Springer Proceedings in Mathematics & Statistics

      Volume: 106 Pages: 211-227

    • DOI

      10.1007/978-4-431-55215-4_19

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Group actions on symmetric spaces related to left-invariant geometric structures2014

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      RIMS Kokyuroku

      Volume: 1929 Pages: 1-12

    • Related Report
      2014 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Generalized Finsler structures on closed 3-manifolds2014

    • Author(s)
      Sorin V. Sabau, Kazuhiro Shibuya, Gheorghe Pitis
    • Journal Title

      Tohoku Math. J. (2)

      Volume: 66 Pages: 321-353

    • DOI

      10.2748/tmj/1412783202

    • NAID

      130007953678

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Metric structures associated to Finsler metrics2014

    • Author(s)
      Sorin V. Sabau, Kazuhiro Shibuya, Hideo Shimada
    • Journal Title

      Publ. Math. Debrecen

      Volume: 84 Pages: 89-103

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Presentation] サッカーの幾何学:変分法に基づくゴールキーパーの最適位置2019

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      淡路島幾何学研究集会 2019
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 古典的不変式論と曲線の微分方程式2019

    • Author(s)
      Yoshio Agaoka
    • Organizer
      第26回沼津改め静岡研究会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Examples of weakly reflective submanifolds in noncompact symmetric spaces2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Hiroshima Differential Geometry Day 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Flat quandles, graphs, and subsets in symmetric spaces2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      第35回代数的組合せ論シンポジウム
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Discrete symmetric spaces, quandles, and their subsets2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      広島大学数学教室談話会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Symmetric spaces, submanifold geometry, and left-invariant metrics2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      OCAMI 談話会
    • Related Report
      2018 Annual Research Report
  • [Presentation] カンドルおよび対称空間内のある種の部分集合2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      部分多様体論・湯沢2018
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] $GL(V)$ の組合せ的表現論速習2018

    • Author(s)
      Yoshio Agaoka
    • Organizer
      北九州 workshop 2018「不変式論と微分幾何学への応用」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 球面と双曲平面のタイリング2018

    • Author(s)
      Yoshio Agaoka
    • Organizer
      第35回代数的組合せ論シンポジウム
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 接触変換で不変な微分方程式のクラスについて2018

    • Author(s)
      Kazuhiro Shibuya
    • Organizer
      合宿セミナー 2018 in 福山
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fourier analysis and Combinatorics on compact homogeneous spaces2018

    • Author(s)
      Takayuki Okuda
    • Organizer
      Tsinghua Sanya International Mathematics Forum
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Double integration and designs2018

    • Author(s)
      Takayuki Okuda
    • Organizer
      2018 Mini-workshop on Designs Theory and Quantum Informations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Delsarte's theory for subsets of finite homogeneous spaces2018

    • Author(s)
      Takayuki Okuda
    • Organizer
      研究集会「カンドルと対称空間」
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Integrality of Dynkin indices for totally geodesic submaniflds of compact symmetric spaces2018

    • Author(s)
      Takayuki Okuda
    • Organizer
      広島幾何学研究集会 2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] 複素旗多様体内の実形の交叉と Floer ホモロジー2018

    • Author(s)
      Takayuki Okuda
    • Organizer
      第65回幾何学シンポジウム
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Left-invariant pseudo-Riemannian metrics on some solvable Lie groups2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      AMS Special Session on Nilpotent and Solvable Geometry
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Flat quandles and finite subsets in symmetric spaces2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Hakata Workshop Winter Meeting 2018: Discrete Mathematics and its Applications
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Left-invariant pseudo-Riemannian metrics on some Lie groups2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Geometry of Submanifolds and Integrable Systems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Left-invariant metrics and submanifold geometry2017

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Lie Group Actions in Riemannian Geometry
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Symmetric spaces, submanifold geometry, and solvmanifolds2017

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Capital Normal University-Hiroshima University Joint Conference on Mathematics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 3次元リーマン多様体が4次元ユークリッド空間へ局所等長埋め込み可能となるための必要十分条件2017

    • Author(s)
      阿賀岡芳夫, 橋永貴弘
    • Organizer
      日本数学会
    • Place of Presentation
      首都大学東京
    • Related Report
      2016 Annual Research Report
  • [Presentation] カンドルにおける平坦性と可換性2017

    • Author(s)
      田丸博士
    • Organizer
      北九州ワークショップ「幾何学と組合せ論」
    • Place of Presentation
      リファレンス小倉魚町
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Left-invariant metrics and submanifold geometry2017

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      The 7th International Workshop on Differential Geometry
    • Place of Presentation
      虹ノ松原ホテル
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quandles and discrete symmetric spaces --- flatness and commutativity2017

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      The 13th OCAMI-RIRCM Joint Differential Geometry Workshop on Submanifold Geometry and Lie Theory
    • Place of Presentation
      大阪市立大学
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Ricci soliton and contact homogeneous hypersurfaces in noncompact symmetric spaces2017

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Workshop on Differential Geometry, Gwangju-2017
    • Place of Presentation
      Chonnam National University, 韓国
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] リーマン対称空間内の測地線を共有しない全測地的部分多様体の組について2017

    • Author(s)
      奥田隆幸
    • Organizer
      日本数学会2017年度会, 幾何学分科会特別講演
    • Place of Presentation
      首都大学東京
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Delsarte theory on compact symmetric spaces2017

    • Author(s)
      Takayuki Okuda
    • Organizer
      Japan-Korea workshop on algebra and combinatorics
    • Place of Presentation
      熊本大学
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces2016

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      The 11th OCAMI-RIRCM Joint Differential Geometry Workshop on Submanifolds and Lie Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2016-03-21
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On totally geodesic surfaces in symmetric spaces and applications2016

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Workshop in honor of Professor Hiroo Naitoh's retirement
    • Place of Presentation
      山口大学
    • Year and Date
      2016-03-05
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] サッカーの幾何学:変分法に基づくゴールキーパーの最適位置2016

    • Author(s)
      田丸博士
    • Organizer
      北九州数理科学セミナー
    • Place of Presentation
      北九州高等専門学校
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On totally geodesic surfaces in symmetric spaces and applications2016

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Japan-China Geometry Conference
    • Place of Presentation
      福建師範大学, 中国
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非コンパクト型対称空間への余等質性 1 作用 --- an overview2016

    • Author(s)
      田丸博士
    • Organizer
      合宿セミナー 2016 in 山口
    • Place of Presentation
      山口紅花舎
    • Related Report
      2016 Annual Research Report
  • [Presentation] Left-invariant metrics and submanifold geometry2016

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Differential Geometry, Lie Theory and Low-Dimensional Topology
    • Place of Presentation
      La Trobe University, オーストラリア
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Structures of association schemes on great antipodal sets of Hermitian symmetric spaces2016

    • Author(s)
      Takayuki Okuda, Hirotake Kurihara
    • Organizer
      RIMS Workshop: Research on Finite Groups, Algebraic Combinatorics and Vertex Operator Algebras
    • Place of Presentation
      京都大学
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Delsarte theory for quotients of association schemes2016

    • Author(s)
      Takayuki Okuda
    • Organizer
      International Workshop of Algebraic Combinatorics
    • Place of Presentation
      Anhui University, 中国
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Totally geodesic submanifolds of Riemmaninan symmetric spaces and proper actions of reductive group on Pseudo-Riemannian symmetric spaces2016

    • Author(s)
      Takyuki Okuda
    • Organizer
      The fifth International Colloquium of Differential Geometry and it's Related Fields 2016
    • Place of Presentation
      Veliko Tarnovo, Bulgaria
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hermite 対称空間内の全測地的複素曲線2016

    • Author(s)
      久保亮, 奥田隆幸, 田丸博士
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学
    • Related Report
      2016 Annual Research Report
  • [Presentation] A classification problem for 3rd order PDEs via differential systems2016

    • Author(s)
      Kazuhiro Shibuya
    • Organizer
      The second China-Japan geometry conference
    • Place of Presentation
      Fuzhou, China
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A classification problem for 3rd order PDEs via differential systems2016

    • Author(s)
      Kazuhiro Shibuya
    • Organizer
      The 51-th Symposium on Finsler Geometry
    • Place of Presentation
      Kagoshima
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A classification problem for 3rd order PDEs via differential systems2016

    • Author(s)
      Kazuhiro Shibuya
    • Organizer
      Geometry Seminar in Northeast Normal University
    • Place of Presentation
      Changchun, China
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 対称空間論の離散化とカンドル代数2015

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      大阪大学数学教室談話会
    • Place of Presentation
      大阪大学
    • Year and Date
      2015-12-07
    • Related Report
      2015 Annual Research Report
  • [Presentation] Milnor-type theorems for left-invariant metrics2015

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      筑波大学微分幾何学火曜セミナー
    • Place of Presentation
      筑波大学
    • Year and Date
      2015-10-27
    • Related Report
      2015 Annual Research Report
  • [Presentation] The space of left-invariant metrics and submanifold geometry2015

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      AMS Special Session on Ricci Curvature for Homogeneous Spaces and Related Topics
    • Place of Presentation
      San Antonio (Texas, USA)
    • Year and Date
      2015-01-10
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Quandles and a discretization of the theory of symmetric spaces2014

    • Author(s)
      田丸 博士
    • Organizer
      部分多様体論・湯沢2014
    • Place of Presentation
      湯沢グランドホテル (新潟県)
    • Year and Date
      2014-11-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 対称空間論の離散化とカンドル代数2014

    • Author(s)
      田丸 博士
    • Organizer
      上智大学談話会
    • Place of Presentation
      上智大学
    • Year and Date
      2014-11-07
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 対称空間論の離散化とカンドル代数2014

    • Author(s)
      田丸 博士
    • Organizer
      福岡大学微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2014-11-01
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The space of left-invariant metrics2014

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      The 10th Geometry Conference for the Friendship between China and Japan
    • Place of Presentation
      Fudan University (China)
    • Year and Date
      2014-09-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On totally geodesic surfaces in symmetric spaces of type AI2014

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      ICM 2014 Satellite Conference on Real & Complex Submanifold
    • Place of Presentation
      NIMS (Korea)
    • Year and Date
      2014-08-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Group actions on symmetric spaces related to left-invariant geometric structures2014

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Development of group actions and submanifold theory
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-06-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] An interaction between geometry of left-invariant metrics and group actions on symmetric spaces2014

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Submanifold Geometry and Related Topics
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2014-04-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Book] 基礎線形代数 第二版2019

    • Author(s)
      阿部誠,本田竜広,澁谷一博
    • Total Pages
      203
    • Publisher
      学術図書出版社
    • ISBN
      9784780600179
    • Related Report
      2018 Annual Research Report
  • [Book] Challenging Researches in Economic Sciences: Legal Informatics, Environmental Economics, Economics, OR and Mathematics2017

    • Author(s)
      M. Kitahara, C. Czerkawski, O. Kurihara, H. Hasegawa, S. Sakai, T. Takahara, R. Wada, Y. Agaoka, A. Kubo
    • Total Pages
      141
    • Publisher
      Kyushu Univ. Press
    • Related Report
      2016 Annual Research Report
  • [Book] New Solutions in Legal Informatics, Economic Sciences and Mathematics2015

    • Author(s)
      M. Kitahara, T. Ogawa, K. Iyori, T. Yano, H. Kosaka, M. Sakaguchi, M. Kodama, S. Sakai, T. Takahama, R. Wada, Y. Agaoka
    • Total Pages
      152
    • Publisher
      Kyushu University Press
    • Related Report
      2014 Annual Research Report
  • [Remarks] Tamaru's WEB PAGE

    • URL

      http://www.math.sci.hiroshima-u.ac.jp/~tamaru/index-j.html

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
  • [Funded Workshop] Workshop in honor of Professor Hiroo Naitoh's retirement2016

    • Place of Presentation
      山口大学
    • Year and Date
      2016-03-05
    • Related Report
      2015 Annual Research Report

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Published: 2014-04-04   Modified: 2022-02-16  

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