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Integrable homogeneous geometric structures and invariants

Research Project

Project/Area Number 23540090
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, 理学(系)研究科(研究院), 教授 (50192894)

Co-Investigator(Kenkyū-buntansha) TAMARU Hiroshi  広島大学, 大学院理学研究科, 教授 (50306982)
SHIBUYA Kazuhiro  広島大学, 大学院理学研究科, 准教授 (00569832)
Co-Investigator(Renkei-kenkyūsha) KONNO Hitoshi  東京海洋大学, 海洋工学部, 教授 (00291477)
Project Period (FY) 2011-04-28 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords可積分条件 / 共形構造 / 平坦 / plethysm / ガウス方程式 / 不変式 / 等長埋め込み / コダッチ方程式 / リーマン多様体 / 局所等長埋め込み / 微分方程式 / 共変式 / リー群 / 左不変計量 / テンソル積空間 / 不変量 / 分解公式 / 初等幾何学 / ラングルの問題 / 擬似相似 / 左不変 / 射影構造
Outline of Final Research Achievements

In this research we investigate the problem of the existence or non-existence of integrable geometric structures on homogeneous spaces, and also the problem of the integrability condition on local isometric imbeddings of Riemannian manifolds from the standpoint of algebraic invariant theory. In addition, we also investigate several fundamental problems on representation theory such as a decomposition formula of plethysms etc.
We obtained several results on these problems. For example, we construct a geometric invariant associated with left invariant flat conformal structures on Lie groups, and also give a necessary and sufficient condition for 3-dimensional Riemannian manifolds that are locally isometrically imbedded into the 4-dimensional Euclidean space in terms of the invariants and covariants on curvature.

Report

(6 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (76 results)

All 2016 2015 2014 2013 2012 2011 Other

All Journal Article (24 results) (of which Peer Reviewed: 21 results,  Acknowledgement Compliant: 2 results,  Open Access: 1 results) Presentation (46 results) (of which Invited: 40 results) Book (3 results) Remarks (3 results)

  • [Journal Article] The space of of left-invariant Riemannian metrics2016

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      Geometry and Topology of Manifolds

      Volume: 印刷中

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

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

      J. Aust. Math. Soc.

      Volume: 印刷中

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

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

      Topology its Appl. (Special Issue)

      Volume: 196 Pages: 675-683

    • DOI

      10.1016/j.topol.2014.01.020

    • Related Report
      2015 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 Issue: 2 Pages: 417-436

    • DOI

      10.1007/s00031-015-9305-1

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [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 Research-status Report
    • Peer Reviewed
  • [Journal Article] Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces2015

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

      Tohoku Math J.

      Volume: 印刷中

    • NAID

      130008144991

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Naturally reductive homogeneous real hypersurfaces in a nonflat complex space form2015

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

      Topology Applications (Special Issues)

      Volume: 印刷中

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] The index of symmetry of compact naturally reductive spaces2015

    • Author(s)
      Carlos Olmos, Silvio Reggiani, Hiroshi Tamaru
    • Journal Title

      Math. Z.

      Volume: 印刷中 Issue: 3-4 Pages: 611-628

    • DOI

      10.1007/s00209-013-1268-0

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Rank two prolongations of second-order PDE and geometric singular solutions2015

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

      Tokyo J. Math.

      Volume: 印刷中

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Generalized Finsler structures on closed 3-manifolds2015

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

      Tohoku Math. J.

      Volume: 印刷中

    • NAID

      130007953678

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A geometrical perspective on the insulin evolution2015

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

      International Journal of Mathematical Science and Engineering, World Academy of Science, Engineering and Technology

      Volume: 印刷中

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Metric structures associated to Finsler metrics2015

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

      Publ. Math. Debrecen

      Volume: 印刷中

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [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

    • ISBN
      9784431552147, 9784431552154
    • Related Report
      2014 Research-status 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 Research-status Report
  • [Journal Article] The space of left-invariant metrics --- on a generalization of Milnor frames2013

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      Proceedings of the Seventeenth International Workshop on Differential Geometry

      Volume: 17 Pages: 55-65

    • Related Report
      2013 Research-status Report
  • [Journal Article] Cohomogeneity one actions on symmetricspaces of noncompact type2013

    • Author(s)
      Jurgen Berndt, Hiroshi Tamaru
    • Journal Title

      J. Reine Angew. Math.

      Volume: - Issue: 683

    • DOI

      10.1515/crelle-2012-0002

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A sufficient condition for congruency of orbits of Lie groups and some applications2013

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

      Geom. Dedicata

      Volume: - Issue: 1 Pages: 233-238

    • DOI

      10.1007/s10711-012-9811-4

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Two-point homogeneous quandles with prime cardinality2013

    • Author(s)
      H.Tamaru
    • Journal Title

      J. Math. Soc. Japan

      Volume: -

    • NAID

      130003384666

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Some topics of homogeneous submanifolds in complex hyperbolic spaces2013

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

      Proc. Workshop on Diff. Geom. of Submanifolds and its Related Topics, Saga

      Volume: -

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Curvature properties of Lie hypersurfaces in the complex hyperbolic space2012

    • Author(s)
      T.Hamada, Y.Hoshikawa, H.Tamaru
    • Journal Title

      J. Geom.

      Volume: 103 Issue: 2 Pages: 247-261

    • DOI

      10.1007/s00022-012-0127-1

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Moving frames on generalized Finsler structures2012

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

      J. Korean Math. Soc.

      Volume: 49 Pages: 1229-1257

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] The space of left-invariant metrics on a Lie group up to isometry and scaling,2011

    • Author(s)
      Hiroshi Kodama, Atsushi Takahara, Hiroshi Tamaru
    • Journal Title

      Manuscripta Math

      Volume: 135, no.1-2 Issue: 1-2 Pages: 229-243

    • DOI

      10.1007/s00229-010-0419-4

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] Parabolic subgroups of semisimple Liegroups and Einstein solvmanifolds2011

    • Author(s)
      Hiroshi Tamaru
    • Journal Title

      Math. Ann

      Volume: 351, no.1, Issue: 1 Pages: 51-66

    • DOI

      10.1007/s00208-010-0589-0

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] On implicit second-order PDE of a scalar function on a plane via differential systems2011

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

      Internat. J. Math.

      Volume: 22 Issue: 07 Pages: 907-924

    • DOI

      10.1142/s0129167x11007069

    • NAID

      120006459634

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] リーマン多様体の局所等長埋め込みの障害テンソル-不変式・共変式をどのように表示するか2016

    • Author(s)
      阿賀岡芳夫
    • Organizer
      第23回沼津研究会
    • Place of Presentation
      沼津工業高等専門学校
    • Year and Date
      2016-03-08
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 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
    • Organizer
      研究会「直観幾何学」
    • Place of Presentation
      熊本大学
    • Year and Date
      2016-02-08
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] リーマン多様体の局所等長埋め込みにおける高次の障害-R^4 の超曲面の場合2016

    • Author(s)
      橋永貴弘、阿賀岡芳夫
    • Organizer
      日本数学会中国四国支部会
    • Place of Presentation
      広島大学
    • Year and Date
      2016-01-24
    • Related Report
      2015 Annual Research Report
  • [Presentation] 3次元リーマン多様体の局所等長埋め込み-高次の障害とその応用2015

    • Author(s)
      阿賀岡芳夫
    • Organizer
      合宿セミナー2015 in 福山
    • Place of Presentation
      福山市ツネイシしまなみビレッジ
    • Year and Date
      2015-12-19
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] A variational problem for curves on Finsler surfaces2015

    • Author(s)
      澁谷一博
    • Organizer
      福岡幾何学研究集会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2015-10-31
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] 3次元リー群の局所等長埋め込み2015

    • Author(s)
      橋永貴弘、阿賀岡芳夫
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Related Report
      2015 Annual Research Report
  • [Presentation] リーマン多様体の等長埋め込み問題と、そのobstructionとしての可積分条件2015

    • Author(s)
      阿賀岡芳夫
    • Organizer
      岐阜数理科学セミナー
    • Place of Presentation
      岐阜大学
    • Year and Date
      2015-09-04
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Fiber structures of prolongations of third order PDEs2015

    • Author(s)
      澁谷一博
    • Organizer
      淡路島幾何学研究集会2015
    • Place of Presentation
      淡路島・国民宿舎 慶野松原荘
    • Year and Date
      2015-01-23
    • Related Report
      2014 Research-status Report
    • Invited
  • [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 Research-status Report
    • Invited
  • [Presentation] ラングル変換が誘導する4角形の相似不変量の involution2014

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      広島幾何学研究集会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-10-09
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] The space of left-invariant metrics2014

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      The 10-th Geometry Conference for the Friendship between China and Japan
    • Place of Presentation
      Fudan University (China)
    • Year and Date
      2014-09-11
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Fiber structures of prolongations of third order PDEs2014

    • Author(s)
      Kazuhiro Shibuya
    • Organizer
      Workshop on Singularities, Geometry, Topology and Related Topics
    • Place of Presentation
      Changchun (China)
    • Year and Date
      2014-09-02
    • Related Report
      2014 Research-status 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
    • Year and Date
      2014-06-25
    • Related Report
      2014 Research-status 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 Research-status Report
    • Invited
  • [Presentation] 双曲平面における非周期タイリング2014

    • Author(s)
      平野 俊樹、阿賀岡 芳夫
    • Organizer
      日本数学会中国・四国支部会
    • Place of Presentation
      島根大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 4角形の不変量とその応用2014

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      研究会 直観幾何学
    • Place of Presentation
      熊本大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Cayley-Hamilton の定理と Amitsur-Levitzki の恒等式 - 外積代数への拡張と展望2014

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      第21回沼津研究会
    • Place of Presentation
      沼津工業高等専門学校
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Homogeneous Ricci soliton hypersurfaces in noncompact symmetric spaces2014

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      Colloquium of Department of Mathematics
    • Place of Presentation
      Chonnam National University (Gwangju, 韓国)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 2変数3階過剰決定系に対するinvolutiveの特徴付け2014

    • Author(s)
      澁谷 一博
    • Organizer
      淡路島幾何学研究集会2014
    • Place of Presentation
      淡路島
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 2変数3階過剰決定系に対するinvolutiveの特徴付け2014

    • Author(s)
      澁谷 一博
    • Organizer
      名古屋大学大学院多元数理科学研究科幾何学セミナー
    • Place of Presentation
      名古屋大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] ラングルの問題と四角形の相似不変量2013

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      日本数学会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Research-status Report
  • [Presentation] The space of left-invariant metrics --- on a generalization of Milnor frames2013

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      17th International Workshop on Differential Geometry and Related Fields and the 7th KNUGRG-OCAMI Differential Geometry Workshop
    • Place of Presentation
      NIMS (Daejeon, 韓国)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 対称空間と等質部分多様体 (1), (2)2013

    • Author(s)
      田丸 博士
    • Organizer
      幾何学阿蘇研究集会
    • Place of Presentation
      休暇村南阿蘇
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Warming up lecture "Preliminaries on parabolic subalgebras"2013

    • Author(s)
      田丸 博士
    • Organizer
      第11回秋葉原セミナー
    • Place of Presentation
      首都大学東京(秋葉原サテライトキャンパス)
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Left-invariant metrics on Lie groups and submanifold geometry2013

    • Author(s)
      Hiroshi Tamaru
    • Organizer
      International Workshop on Special Geometry and Minimal Submanifolds
    • Place of Presentation
      東北大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 左不変計量の成す空間 --- ミルナー枠の一般化について ---2013

    • Author(s)
      田丸 博士
    • Organizer
      談話会兼松江セミナー
    • Place of Presentation
      島根大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Left-invariant metrics on Lie groups and submanifold geometry2013

    • Author(s)
      田丸 博士
    • Organizer
      談話会
    • Place of Presentation
      大阪大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 微分式系による2変数3階偏微分方程式の解法2013

    • Author(s)
      澁谷 一博
    • Organizer
      OCU 48セミナー
    • Place of Presentation
      大阪市立大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Type-changing PDE and singularities of Monge characteristic systems2013

    • Author(s)
      澁谷 一博
    • Organizer
      RIMS 研究集会 部分多様体の微分幾何学の深化
    • Place of Presentation
      京都大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Type-changing PDE and singularities of MOnge characteristic systems2013

    • Author(s)
      澁谷 一博
    • Organizer
      幾何学シンポジウム
    • Place of Presentation
      東京工業大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 2変数3階過剰決定系に対するinvolutiveの特徴付け2013

    • Author(s)
      澁谷 一博
    • Organizer
      合宿セミナー2013 in 女鹿平
    • Place of Presentation
      広島県 女鹿平
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] ラングルの問題と四角形の不変量2013

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      第20回沼津研究会
    • Place of Presentation
      沼津高専
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Left-invariant metrics on Lie groups and submanifold geometry2013

    • Author(s)
      田丸 博士
    • Organizer
      第8回代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On the moduli space of left-invariant metrics on a Lie group2013

    • Author(s)
      田丸 博士
    • Organizer
      Submanifold Theory in Symmetric Spaces and Lie Theory in Finite and Infinite Dimensions
    • Place of Presentation
      大阪市立大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] リー群上の左不変計量の幾何と部分多様体論2013

    • Author(s)
      田丸 博士
    • Organizer
      微分幾何学火曜セミナー
    • Place of Presentation
      筑波大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] テンソル空間における不変部分多様体とその幾何学的応用2012

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      幾何学コロキウム
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] テンソル積空間の既約分解と多面体の格子点2012

    • Author(s)
      阿賀岡 芳夫
    • Organizer
      Symplectic Geometryとその周辺
    • Place of Presentation
      秋田大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] リー群上の左不変擬リーマン計量の成す空間について2012

    • Author(s)
      田丸 博士
    • Organizer
      合宿セミナー2012 in 蒜山 --リー群と幾何構造 --
    • Place of Presentation
      休暇村蒜山高原(岡山県)
    • Related Report
      2012 Research-status Report
  • [Presentation] リー群上の左不変計量の幾何と部分多様体論2012

    • Author(s)
      田丸 博士
    • Organizer
      OCU48セミナー
    • Place of Presentation
      大阪市立大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 非コンパクト対称空間内の等質超曲面の幾何と応用2012

    • Author(s)
      田丸 博士
    • Organizer
      非可換幾何学と数理物理学2012
    • Place of Presentation
      慶應義塾大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 非コンパクト対称空間への群作用とその応用2012

    • Author(s)
      田丸 博士
    • Organizer
      第59回幾何学シンポジウム
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 複素双曲空間内の等質部分多様体に関するいくつかの話題2012

    • Author(s)
      田丸 博士
    • Organizer
      部分多様体の微分幾何学及び関連課題
    • Place of Presentation
      佐賀大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 非コンパクト対称空間の等質部分多様体の幾何学2012

    • Author(s)
      田丸 博士
    • Organizer
      秋葉原微分幾何学セミナー
    • Place of Presentation
      首都大学東京
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] 微分式系による2変数3階偏微分方程式の解法2012

    • Author(s)
      澁谷 一博
    • Organizer
      合宿セミナー2012 in 蒜山 --リー群と幾何構造 --
    • Place of Presentation
      休暇村蒜山高原(岡山県)
    • Related Report
      2012 Research-status Report
  • [Presentation] Generalized Finsler structures on closed 3-manifolds2012

    • Author(s)
      澁谷 一博
    • Organizer
      The 47-th Symposium on Finsler Geometry
    • Place of Presentation
      鹿児島県自治会館
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Jet space, Cartan-Kahler theorem とその周辺2012

    • Author(s)
      澁谷 一博
    • Organizer
      TWS14: Seminar on Exterior Differential Systems
    • Place of Presentation
      東京大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Book] Contemporary Works in Economic Sciences2016

    • Author(s)
      M.Kitahara, C.Czerkawski, O.Kurihara, H.Teramoto, N.Zhang, S.Sakai, T.Takahama, R.Wada, Y.Agaoka
    • Total Pages
      117
    • Publisher
      Kyushu Univ. Press
    • Related Report
      2015 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 Research-status Report
  • [Book] Legal Informatics, Economic Science and Mathematical Research2014

    • Author(s)
      M.Kitahara, T.Ogawa, S.Sakai, T.Takahama, R.Wada, Y.Agaoka
    • Total Pages
      92
    • Publisher
      Kyushu University Press
    • Related Report
      2013 Research-status Report
  • [Remarks] 第23回沼津研究会

    • URL

      http://www.mmm.muroran-it.ac.jp/~masatomo/23thNumazuMeeting.htm

    • Related Report
      2015 Annual Research Report
  • [Remarks] 第21回沼津研究会

    • URL

      http://user.numazu-ct.ac.jp/~machida/21thNumazuMeeting.htm

    • Related Report
      2013 Research-status Report
  • [Remarks] 沼津研究会ホームページ

    • URL

      http://user.numazu-ct.ac.jp/~machida/20thNumazuMeeting.htm

    • Related Report
      2012 Research-status Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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