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Local isometric imbeddings of homogeneous Riemannian manifolds and integrability conditions

Research Project

Project/Area Number 16K05132
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Geometry
Research InstitutionHiroshima University

Principal Investigator

AGAOKA Yoshio  広島大学, 先進理工系科学研究科(理), 名誉教授 (50192894)

Co-Investigator(Kenkyū-buntansha) 田丸 博士  大阪市立大学, 大学院理学研究科, 教授 (50306982)
澁谷 一博  広島大学, 先進理工系科学研究科(理), 准教授 (00569832)
奥田 隆幸  広島大学, 先進理工系科学研究科(理), 講師 (40725131)
橋永 貴弘  北九州工業高等専門学校, 生産デザイン工学科, 講師 (40772132)
Project Period (FY) 2016-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywordsリーマン多様体 / 等質空間 / 等長埋め込み / 可積分条件 / 不変式 / 曲率 / 記号的方法 / モンジュ・アンペール方程式 / ガウス方程式 / 微分方程式 / 局所等長埋め込み / 共変式 / warped product / コダッチ方程式
Outline of Final Research Achievements

Our principal subject in this research is local isometric embedding problem of Riemannian manifolds. In particular, we study the case of three-dimensional manifolds in four-dimensional Euclidean space. We show that Rivertz's condition and some inequality on the curvature give a necessary and sufficient condition that the manifold can be locally isometrically immersed into R^4, by using the symbolic method in classical invariant theory. As applications, we give another proof of the results for three-dimensional Lie groups, and also solved the problem for warped product manifolds. The appearance of Monge-Ampere type differential equation is one of the surprising discovery in this research.

Academic Significance and Societal Importance of the Research Achievements

リーマン多様体の超曲面論は微分幾何学における古典的な問題の一つであるが、3次元空間を4次元ユークリッド空間に埋め込む場合だけが未解決問題として残されていた。そのような状況において、古典的不変式論における記号的方法という、今まで幾何学とは無縁であった手法を用いてこの問題を解決した意義は大きい。この方法を使えば、膨大な長さをもつ式が簡潔に表示されるだけでなく、各種の幾何学的恒等式を計算機を使わずに証明することが可能となり、今後幾何学の分野に大きな影響を及ぼすものと思われる。

Report

(6 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (97 results)

All 2021 2020 2019 2018 2017 2016 Other

All Journal Article (20 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 15 results,  Open Access: 1 results) Presentation (68 results) (of which Int'l Joint Research: 26 results,  Invited: 63 results) Book (3 results) Remarks (6 results)

  • [Journal Article] Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities2020

    • Author(s)
      Kurihara Hirotake、Okuda Takayuki
    • Journal Title

      Journal of Algebra

      Volume: 559 Pages: 432-466

    • DOI

      10.1016/j.jalgebra.2020.05.004

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On local isometric embeddings of three-dimensional Lie groups2020

    • Author(s)
      Y.Agaoka, T.Hashinaga
    • Journal Title

      Geometriae Dedicata

      Volume: 205 Issue: 1 Pages: 191-219

    • DOI

      10.1007/s10711-019-00472-y

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Dynkin indices for totally geodesic submanifolds in compact symmetric spaces2019

    • Author(s)
      T.Okuda, A.Kubo, H.Tamaru
    • Journal Title

      Proc. 22nd International Workshop on Diff. Geometry of Submanifolds in Symmetric Spaces and Related Problems

      Volume: 1 Pages: 195-200

    • Related Report
      2019 Research-status Report
  • [Journal Article] Moment maps and isoparametric hypersurfaces in spheres --- some recent results2019

    • Author(s)
      S.Fujii, H.Tamaru
    • Journal Title

      Proc. 22nd International Workshop on Diff. Geometry of Submanifolds in Symmetric Spaces and Related Problems

      Volume: 1 Pages: 97-104

    • Related Report
      2019 Research-status Report
  • [Journal Article] The geometry of a positively curved Zoll surface of revolution2019

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

      International J. Geometric Methods in Modern Physics

      Volume: 16 Issue: supp02 Pages: 1-29

    • DOI

      10.1142/s0219887819410032

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Curvature properties of homogeneous real hypersurfaces in nonflat complex space forms2018

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

      Kodai Mathematical Journal

      Volume: 41 Issue: 2 Pages: 315-331

    • DOI

      10.2996/kmj/1530496844

    • NAID

      130007402838

    • ISSN
      0386-5991, 1881-5472
    • Year and Date
      2018-06-30
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] 球面と双曲平面のタイリング (Tilings on the sphere and the hyperbolic plane)2018

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

      第35回 代数的組合せ論シンポジウム報告集

      Volume: 35 Pages: 1-14

    • Related Report
      2018 Research-status Report
  • [Journal Article] On the nonexistence of left-invariant Ricci solitons --- a conjecture and examples2018

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

      Transf. Groups

      Volume: 23 Issue: 1 Pages: 257-270

    • DOI

      10.1007/s00031-017-9439-4

    • Related Report
      2018 Research-status 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 Pages: 67-73

    • Related Report
      2018 Research-status 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)
      奥田隆幸
    • Journal Title

      第65回幾何学シンポジウム予稿集

      Volume: 65 Pages: 75-79

    • Related Report
      2018 Research-status 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

      J. Geom. Phys.

      Volume: 123 Pages: 221-234

    • DOI

      10.1016/j.geomphys.2017.08.013

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [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

      Volume: 203 Pages: 311-321

    • DOI

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

    • ISBN
      9789811055553, 9789811055560
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [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: - Pages: 21-32

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] A class of non-compact homogeneous Lagrangian submanifolds in complex hyperbolic spaces2017

    • Author(s)
      Takahiro Hashinaga, Toru Kajigaya
    • Journal Title

      Ann. Global Anal. Geom.

      Volume: 51 Pages: 21-33

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the nonexistence of left-invariant Ricci solitons --- a conjecture and examples2017

    • Author(s)
      Y.Taketomi, H.Tamaru
    • Journal Title

      Transf. Groups

      Volume: -

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Three-dimensional solvsolitons and the minimality of the corresponding submanifolds2017

    • Author(s)
      T.Hashinaga, H.Tamaru
    • Journal Title

      Internat. J. Math.

      Volume: -

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] Abundance of nilpotent orbits in real semisimple Lie algebras2017

    • Author(s)
      T.Okuda
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: -

    • NAID

      120006903628

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] HOMOGENEOUS RICCI SOLITON HYPERSURFACES IN THE COMPLEX HYPERBOLIC SPACES2016

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

      Tohoku Mathematical Journal, Second Series

      Volume: 68 Issue: 4 Pages: 559-568

    • DOI

      10.2748/tmj/1486177215

    • NAID

      130008144991

    • ISSN
      0040-8735, 2186-585X
    • Year and Date
      2016-12-30
    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the moduli spaces of left-invariant pseudo-Riemannian metrics on Lie groups2016

    • Author(s)
      A.Kubo, K.Onda, Y.Taketomi, H.Tamaru
    • Journal Title

      Hiroshima Math. J.

      Volume: 46 Pages: 357-374

    • Related Report
      2016 Research-status Report
    • Peer Reviewed
  • [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 Issue: 13 Pages: 1650106-1650106

    • DOI

      10.1142/s0129167x16501068

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] 可解岩澤群内の余次元1リッチソリトン部分群2021

    • Author(s)
      田丸博士
    • Organizer
      部分多様体幾何とリ群作用2020
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] リーマン多様体の局所等長埋め込みと Monge-Ampere 方程式2020

    • Author(s)
      阿賀岡芳夫
    • Organizer
      広島幾何学研究集会2020
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] 3次元リーマン多様体の余次元1局所等長埋め込み2020

    • Author(s)
      橋永貴弘
    • Organizer
      筑波大学微分幾何学セミナー
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Left-invariant metrics and submanifold geometry of noncompact symmetric spaces2020

    • Author(s)
      H.Tamaru
    • Organizer
      AMS Special Session on Differential Geometry and Global Analysis
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Quandles and discrete symmetric spaces2020

    • Author(s)
      田丸博士
    • Organizer
      第15回代数・解析・幾何学セミナー
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Totally geodesic immersions of direct products of 2-spheres in compact symmetric spaces2020

    • Author(s)
      T.Okuda
    • Organizer
      The 18th OCAMI-RIRCM Joint Differential Geometry Workshop on Differential Geometry of Submanifolds in Symmetric Spaces and Related Problems
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 3次元 warped product 計量の局所等長埋め込み2019

    • Author(s)
      阿賀岡芳夫, 橋永貴弘
    • Organizer
      日本数学会
    • Related Report
      2019 Research-status Report
  • [Presentation] タイリング入門 --- 平面・球面・双曲平面 ---2019

    • Author(s)
      阿賀岡芳夫
    • Organizer
      組合せ論サマースクール 2019
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 余次元1のリーマン部分多様体の内在的特徴付け2019

    • Author(s)
      阿賀岡芳夫
    • Organizer
      部分多様体論・湯沢2019
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] ユークリッド空間の超曲面の特徴付け2019

    • Author(s)
      阿賀岡芳夫
    • Organizer
      合宿セミナー 2019 in 倉敷
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Moment maps and isoparametric hypersurfaces in spheres2019

    • Author(s)
      H.Tamaru
    • Organizer
      Workshop on the Isoparametric Theory
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometry of homogeneous hypersurfaces in noncompact symmetric spaces2019

    • Author(s)
      田丸博士
    • Organizer
      第2回水戸幾何小研究集会
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] On the moduli spaces of left-invariant geometric structures2019

    • Author(s)
      H.Tamaru
    • Organizer
      Workshop on geometric analysis and homogeneous geometry
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometry of homogeneous hypersurfaces in noncompact symmetric spaces2019

    • Author(s)
      H.Tamaru
    • Organizer
      Symmetry and shape
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 接触変換によるモンジュアンペール方程式のクラスの不変性2019

    • Author(s)
      澁谷一博
    • Organizer
      北大幾何学コロキウム
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Delsarte's theory on coherent configurations2019

    • Author(s)
      T.Okuda
    • Organizer
      Sendai Workshop on Combinatorics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Combinatorics and Fourier analysis on compact symmetric spaces2019

    • Author(s)
      T.Okuda
    • Organizer
      カンドルと対称空間 2019
    • Related Report
      2019 Research-status Report
  • [Presentation] 根付き木を用いたラグランジュ部分代数の構成2019

    • Author(s)
      橋永貴弘
    • Organizer
      北九州幾何学研究集会2019
    • Related Report
      2019 Research-status Report
  • [Presentation] Realizations of contact metric (κ ,μ) -spaces as homogeneous real hypersurfaces in noncompact real two-plane Grassmannians2019

    • Author(s)
      T.Hashinaga
    • Organizer
      Symmetry and Shape
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 非コンパクト型エルミート対称空間内の等質部分多様体2019

    • Author(s)
      Takahiro Hashinaga
    • Organizer
      測地線及び関連する諸問題
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 岩澤分解の冪零部分とその部分リー代数2019

    • Author(s)
      Takahiro Hashinaga
    • Organizer
      淡路島幾何学研究集会2019
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 根付き木を用いたラグランジュ部分代数の構成2019

    • Author(s)
      Takahiro Hashinaga
    • Organizer
      北九州ワークショップ「幾何学と組合せ論2019」
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] GL(V) の組合せ的表現論速習 --- Schur 関数・テンソル積・不変式・plethysm ---2018

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

    • Author(s)
      阿賀岡芳夫
    • Organizer
      第35回 代数的組合せ論シンポジウム
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 古典的不変式論と曲線の微分方程式2018

    • Author(s)
      阿賀岡芳夫
    • Organizer
      第26回沼津改め静岡研究会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Examples of weakly reflective submanifolds in noncompact symmetric spaces2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Hiroshima Differential Geometry Day 2018 (Hiroshima University)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / 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 Research-status Report
    • Invited
  • [Presentation] Symmetric spaces, submanifold geometry, and left-invariant metrics2018

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      大阪市立大学 OCAMI 談話会
    • Related Report
      2018 Research-status Report
    • Invited
  • [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 Research-status 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)
      澁谷一博
    • Organizer
      合宿セミナー 2018 in 福山
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Noncompact homogeneous Lagrangian submanifolds in complex hyperbolic spaces2018

    • Author(s)
      Takahiro Hashinaga
    • Organizer
      Hiroshima Differential Geometry Day 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 記号的方法と局所等長埋め込み問題への応用2018

    • Author(s)
      Takahiro Hashinaga
    • Organizer
      北九州ワークショップ2018「不変式論と微分幾何学への応用」
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Homogeneous Lagrangian submanifolds in Hermitian symmetric spaces of noncompact type2018

    • Author(s)
      Takahiro Hashinaga
    • Organizer
      ICDG 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Fourier analysis and Combinatorics on compact homogeneous spaces2018

    • Author(s)
      Takayuki Okuda
    • Organizer
      The Legacy of Joseph Fourier after 250 years
    • Related Report
      2018 Research-status 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 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Delsarte's theory for subsets of finite homogeneous spaces2018

    • Author(s)
      奥田隆幸
    • Organizer
      研究集会「カンドルと対称空間」
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Integrality of Dynkin indices for totally geodesic submaniflds of compact symmetric spaces2018

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

    • Author(s)
      奥田隆幸
    • Organizer
      第65回幾何学シンポジウム
    • Related Report
      2018 Research-status 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 Research-status 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 Research-status 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 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Delsarte theory for finite regular hypergraphs2018

    • Author(s)
      Takayuki Okuda
    • Organizer
      The 13th USTC-AHU Joint Seminar on Algebraic Combinatorics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces2018

    • Author(s)
      Jong Taek Cho, 橋永 貴弘, 久保 亮, 武富 雄一郎, 田丸 博士
    • Organizer
      日本数学会2018年度会
    • Related Report
      2017 Research-status Report
  • [Presentation] 3次元リーマン多様体の局所等長埋め込み2018

    • Author(s)
      橋永 貴弘
    • Organizer
      淡路島幾何学研究集会2018
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 微分方程式の幾何学と分類問題 I, II2017

    • Author(s)
      澁谷 一博
    • Organizer
      接触構造、特異点、微分方程式及びその周辺
    • Place of Presentation
      金沢大学(石川県)
    • Year and Date
      2017-01-17
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Principal lines of triangle centers2017

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      北九州幾何学研究集会 2017
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 対称空間の局所等長埋め込みと曲率不変量2017

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      合宿セミナー 2017 in 大久野島
    • Related Report
      2017 Research-status Report
    • 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 Research-status 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 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Strongly orthogonal subsets and opposition involutions of root systems2017

    • Author(s)
      Takayuki Okuda
    • Organizer
      Internatinal Workshop on Bannai--Ito Theory
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Coding theory on compact symmetric spaces2017

    • Author(s)
      Takayuki Okuda
    • Organizer
      Capital Normal University--Hiroshima University joint conference on Mathematics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Distance-transitive graphs coming from great antipodal sets on symmetric R-spaces2017

    • Author(s)
      Takayuki Okuda
    • Organizer
      The 82-th KPPY Combinatorics Seminar
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 対称空間上の符号理論における対蹠集合2017

    • Author(s)
      奥田隆幸
    • Organizer
      研究集会「対称空間論とその周辺」~田崎博之先生の還暦を記念して~
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 3次元リーマン多様体の局所等長埋め込み2017

    • Author(s)
      橋永 貴弘
    • Organizer
      信州大学数理科学談話会, 数理経済談話会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 双曲平面のひし形タイリング2017

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      研究会 直観幾何学 2017
    • Place of Presentation
      熊本大学(熊本県)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] リー環の定義方程式・不変量と幾何構造 --- 低次元の場合2017

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      第24回沼津研究会
    • Place of Presentation
      沼津高専(静岡県)
    • Related Report
      2016 Research-status Report
    • 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(東京都)
    • Related Report
      2016 Research-status Report
  • [Presentation] Left-invariant metrics and submanifold geometry2017

    • Author(s)
      H.Tamaru
    • Organizer
      The 7th International Workshop on Differential Geometry
    • Place of Presentation
      虹の松原ホテル(福岡県唐津市)
    • Related Report
      2016 Research-status 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
    • Place of Presentation
      首都大学東京(東京都)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] リーマン対称空間中の全測地的部分多様体と擬リーマン簡約型等質空間の対応について2017

    • Author(s)
      奥田 隆幸
    • Organizer
      名城幾何学研究集会「多様体上の計量と幾何構造」
    • Place of Presentation
      名城大学(愛知県)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] On homogeneous Lagrangian submanifolds in complex hyperbolic spaces2017

    • Author(s)
      T.Hashinaga
    • Organizer
      The 13th OCAMI-RIRCM Joint Differential Geometry Workshop on Submanifold Geometry and Lie Theory
    • Place of Presentation
      大阪市立大学(大阪府)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] R^4 の超曲面として局所的に実現可能なリーマン多様体の内在的特徴付け --- 曲率の1階微分方程式として2016

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      北九州幾何学研究集会
    • Place of Presentation
      九州工業大学(福岡県)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] リー環の成す variety と幾何構造2016

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      合宿セミナー 2016 in 山口
    • Place of Presentation
      山口紅花舎(山口県山口市)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 複素グラスマン多様体における大対蹠集合を用いた積分近似公式について2016

    • Author(s)
      奥田 隆幸
    • Organizer
      RIMS研究集会「リー型の組合せ論」
    • Place of Presentation
      京都大学数理解析研究所(京都府)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] On homogeneous Lagrangian submanifolds in complex hyperbolic spaces2016

    • Author(s)
      T.Hashinaga
    • Organizer
      Differential Geometry, Lie Theory and Low-Dimensional Topology
    • Place of Presentation
      Melbourne(オーストラリア)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A classification problem for 3rd order PDEs via differential systems2016

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

    • Author(s)
      K.Shibuya
    • Organizer
      The 51-th Symposium on Finsler Geometry
    • Place of Presentation
      鹿児島大学(鹿児島県)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A classification problem for 3rd order PDEs via differential systems2016

    • Author(s)
      K.Shibuya
    • Organizer
      Geometry Seminar in Northeast Normal University
    • Place of Presentation
      Changchun(中国)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Book] Current Researches for Applied Economics, Information Systems, Mathematics and OR2020

    • Author(s)
      K.Shintaku, H.Dekihara, T.Ochi, R.Miyazaki, T.Ozaki, R.Wada, Y.Agaoka, J.Maeda, S.Sakai, T.Takahama, H.Hasegawa
    • Total Pages
      98
    • Publisher
      Kyushu Univ. Press
    • ISBN
      9784798502830
    • Related Report
      2019 Research-status Report
  • [Book] Recent Studies in Economic Sciences: Information Systems, Project Managements, Economics, OR and Mathematics2018

    • Author(s)
      C.Czerkawski, O.Kurihara, H.Dekihara, T.Iwaki, N.Zhang, R.Wada, Y.Agaoka, S.Sakai, T.Takahama, Y.Liu, T.Sato
    • Total Pages
      112
    • Publisher
      Kyushu Univ. Press
    • ISBN
      9784798502298
    • Related Report
      2017 Research-status Report
  • [Book] Challenging Reseraches in Economic Sciences --- Legal Informatics, Environmental Economics, Economics, OR and Mathematics2017

    • Author(s)
      M.Kitahara, C.Czerkawski, O.Kurihara, H.Hasegawa, S.Sakai, T.Takahama, R.Wada, Y.Agaoka, A.Kubo
    • Total Pages
      141
    • Publisher
      Kyushu Univ. Press
    • Related Report
      2016 Research-status Report
  • [Remarks] 組合せ論サマースクール 2019

    • URL

      https://sites.google.com/view/cos2019

    • Related Report
      2019 Research-status Report
  • [Remarks] 部分多様体論・湯沢2019

    • URL

      http://www.math.tsukuba.ac.jp/~tasaki/yuzawa/yuzawa2019.html

    • Related Report
      2019 Research-status Report
  • [Remarks] 第35回 代数的組合せ論シンポジウム報告集

    • URL

      https://hnozaki.jimdo.com/proceedings-symp-alg-comb/no-35/

    • Related Report
      2018 Research-status Report
  • [Remarks] 第26回沼津改め静岡研究会

    • URL

      http://www.math.sci.hokudai.ac.jp/\~\,ishikawa/Numazu-Shizuoka/26thShizuokaMeeting.html

    • Related Report
      2018 Research-status Report
  • [Remarks] リー環の成す variety と幾何構造

    • URL

      http://home.hiroshima-u.ac.jp/okudatak/campseminar/16yamaguchi.html

    • Related Report
      2016 Research-status Report
  • [Remarks] リー環の定義方程式・不変量と幾何構造 --- 低次元の場合

    • URL

      http://www.mmm.muroran-it.ac.jp/~masatomo/24thNumazuMeeting.html

    • Related Report
      2016 Research-status Report

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Published: 2016-04-21   Modified: 2022-01-27  

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