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SHIMA Hirohiko
志磨 裕彦
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Alternative Names
志摩 裕彦 シマ ヒロヒコ
志磨 裕彦 シマ ヒロヒコ
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Researcher Number
70028182
Other IDs
Affiliation (based on the past Project Information)
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2001 – 2005: 山口大学, 理学部, 教授
1997 – 1999: 山口大学, 理学部, 教授
1988 – 1994: 山口大学, 理学部, 教授
1986: 山口大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
Geometry
/
代数学・幾何学
/
Geometry
Except Principal Investigator
Geometry
/
代数学・幾何学
/
解析学
/
Algebra
/
Geometry
/
Global analysis
Keywords
Principal Investigator
情報幾何学 / 双対接続 / affine differential geometry / Hessian manifolds / Hessian多様体 / 射影的平坦接続 / Codazzi structure / information geometry / Hesse計量 / Hesse構造
…
More
/ Codazzi構造 / アファイン微分幾何学 / flat affine manifold / flat vector bundle / affine Chern classes / コントラスト関数 / Kahler多様体 / 双対構造 / Hessian構造 / Hessian manifold / Kahler manifold / dual connection / 確率分布族 / Fisher情報計量 / Kahler幾何学 / Hessian metric / Hessian structure / Kahler geometry / family of probability distributions / Hesse多様体 / Kaehler幾何学 / 平坦接続 / Hessian metrics / Hessian structures / Codazzi structures / dual connections / Information geometry
…
More
Except Principal Investigator
部分多様体 / 対称空間 / グラスマン幾何 / 対称部分多様体 / 射影部分多様体 / 接触幾何学 / オイラー標数 / リー群 / projective differential geometry / affine differential geometry / hypergeometric system / contact geometry / 全測地的部分多様体 / リー代数 / symmetric space / Grassmann geometry / totally geodesic submanifold / Lie algebra / cut-and-paste / fibring over the circle / 閉リ-マン面 / 有理型函数 / Weierstrass点 / 平面代数曲線 / コンバクト対称空間 / Lie代数 / Gauss写像 / 同変臨界点論 / 臨界軌道 / 臨界値 / 臨界軌道型 / 群作用 / 不変関数 / 幾何構造 / 情報幾何 / シンプレクティック幾何 / ヘシアン幾何 / 巾零幾何 / アルチン環 / QF-環 / Nakayama自己同型 / 自己双対 / continuous加群 / exchange property / 等長変換群 / 不動点指数 / 同変写像 / レフシェッツ数 / メービウス反転 / 有界対称領域 / 調和関数 / 積分表示 / ユニタリ表現 / Φ-trivial extension / torsion理論 / 商環 / 古典的商環 / Oreの条件 / 超幾何系 / 射影微分幾何学 / 射影不変量 / アファイン幾何学 / 可積分系 / 線叢 / projective invariant / Hesse geometry / projective submanifold / projective invariants / integrable system / line congruence / 一階偏微分方程式系 / submanifold / partial differential equation of 1st order / ジョルダン代数 / 対称R-空間 / 左不変計量 / ジョルダン三項対 / コンパクトLie群 / symmetric submanifold / Lie group / Jordan algebra / symmetric R-space / SK同値 / SK群 / G多様体 / 不動点 / コポルディズム / Smith同値 / 接表現 / コボルディズム / 不動点多様体 / SK-equivalence / SK-group / G-manifolds / fixed points / Euler characteristics / cobordism / n-調和写像 / p-調和写像 / 変分問題 / 共形幾何構造 / n-harmonic map / p-harmonic map / variational problem
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Research Projects
(
19
results)
Research Products
(
5
results)
Co-Researchers
(
31
People)
Project Start Year (Newest)
Project Start Year (Oldest)
Research on families of fixed point sets of G-manifolds in transformation group theory
Principal Investigator
KOMIYA Katsuhiro
Project Period (FY)
2003 – 2004
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Yamaguchi University
Hessian Geometry and Information Geometry
Principal Investigator
Principal Investigator
SHIMA Hirohiko
Project Period (FY)
2003 – 2004
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Yamaguchi University
n-harmonic maps and geometries of conformal structures on Riemannian manifolds
Principal Investigator
NAKAUCHI Nobumitsu
Project Period (FY)
2003 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Global analysis
Research Institution
Yamaguchi University
Study on the geometry of symmetric spaces and their totally geodesic submanifolds
Principal Investigator
NAITOH Hiroo
Project Period (FY)
2001 – 2004
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Yamaguchi University
DIFFERENTIAL GEOMETRY OF HESSIAN STRUCTURES AND ITS APPLICATIONS TO INFORMATION GEOMETRY
Principal Investigator
Principal Investigator
SHIMA Hirohiko
Project Period (FY)
2001 – 2002
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Yamaguchi University
Differential Geometry and Information Geometry II
Principal Investigator
Principal Investigator
SHIMA Hirohiko
Project Period (FY)
1998 – 1999
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
Geometry
Research Institution
Yamaguchi University
Study of geometric structures on projective submanifolds in view of differential equations
Principal Investigator
SAKAI Takeshi
Project Period (FY)
1997 – 1999
Research Category
Grant-in-Aid for Scientific Research (A)
Research Field
Geometry
Research Institution
Kobe University
Study on Submanifold Theory of Compact Riemannian Symmetric Spaces
Principal Investigator
NAITOH Hiroo
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
Geometry
Research Institution
Yamaguchi University
射影部分多様体の幾何構造の研究
Principal Investigator
SAKAI Takeshi
Project Period (FY)
1994
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
Geometry
Research Institution
Kobe University
アルチン環の研究
Principal Investigator
大城 紀代市
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Algebra
Research Institution
Yamaguchi University
対称空間の部分多様体とグラスマン幾何の研究
Principal Investigator
内藤 博夫
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Geometry
Research Institution
Yamaguchi University
微分幾何学と情報幾何学
Principal Investigator
Principal Investigator
志磨 裕彦
Project Period (FY)
1993
Research Category
Grant-in-Aid for Co-operative Research (A)
Research Field
Geometry
Research Institution
Yamaguchi University
不動点理論と変換群論の研究
Principal Investigator
小宮 克弘
Project Period (FY)
1992
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Yamaguchi University
対称空間の部分多様体の研究
Principal Investigator
NAITOH Hiroo
Project Period (FY)
1991
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Yamaguchi University
リ-マン面上の有理型函数とワイエルストラス点の研究
Principal Investigator
加藤 崇雄
Project Period (FY)
1990
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Yamaguchi University
Hessian manifoldsの研究
Principal Investigator
Principal Investigator
志磨 裕彦
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Yamaguchi University
Torsion理論と関連した問題の研究
Principal Investigator
倉田 吉喜
Project Period (FY)
1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Yamaguchi University
Lie群の表現と等質空間上の調和解析
Principal Investigator
井上 透
Project Period (FY)
1987 – 1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Yamaguchi University
多様体と群作用の研究
Principal Investigator
小宮 克弘
Project Period (FY)
1986
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Yamaguchi University
All
2005
Other
All
Journal Article
Book
[Book] Geometry of Hessian Structures
2005
Author(s)
Hirohiko Shima
Total Pages
227
Data Source
KAKENHI-PROJECT-15540209
[Book] Geometry of Hessian structures
2005
Author(s)
Hirohiko Shima
Total Pages
250
Publisher
World Scientific
Description
「研究成果報告書概要(和文)」より
Data Source
KAKENHI-PROJECT-15540080
[Book] Geometry of Hessian Structures
2005
Author(s)
Hirohiko Shima
Total Pages
250
Publisher
World Scientific
Description
「研究成果報告書概要(欧文)」より
Data Source
KAKENHI-PROJECT-15540080
[Book] Geometry of Hessian Structures
Author(s)
Hirohiko Shima
Total Pages
238
Publisher
World Scientific
Description
「研究成果報告書概要(和文)」より
Data Source
KAKENHI-PROJECT-15540209
[Journal Article] Geometry of Hessian Structures
Author(s)
Hirohiko Shima
Journal Title
World Scientific (to appear)
Description
「研究成果報告書概要(欧文)」より
Data Source
KAKENHI-PROJECT-15540209
# of Projects (Dsc)
# of Projects (Asc)
1.
NAKAUCHI Nobumitsu
(50180237)
# of Collaborated Projects:
14 results
# of Collaborated Products:
0 results
2.
KOMIYA Katsuhiro
(00034744)
# of Collaborated Projects:
13 results
# of Collaborated Products:
0 results
3.
INOUE Toru
(00034728)
# of Collaborated Projects:
13 results
# of Collaborated Products:
0 results
4.
NAITOH Hiroo
(10127772)
# of Collaborated Projects:
13 results
# of Collaborated Products:
0 results
5.
KATO Takao
(10016157)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
6.
柳 研二郎
(90108267)
# of Collaborated Projects:
4 results
# of Collaborated Products:
0 results
7.
大城 紀代市
(90034727)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
8.
久田見 守
(80034734)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
9.
ANDO Yoshifumi
(80001840)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
10.
倉田 吉喜
(30034698)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
11.
SAKAI Takeshi
(00022682)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
12.
KANEYUKI Souji
(40022553)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
13.
YAMAGUCHI Keizo
(00113639)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
14.
YOSHIDA Masaaki
(30030787)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
15.
YOSHIMURA Hiroshi
(00182824)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
16.
菊政 勲
(70234200)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
17.
HATAYA Yasushi
(20294621)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
18.
MAKINO Tetsu
(00131376)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
19.
柳原 宏
(30200538)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
20.
佐藤 肇
(30011612)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
21.
TAKANO Kyoichi
(10011678)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
22.
TAKAYAMA Nobuki
(30188099)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
23.
坂根 由昌
(00089872)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
24.
渡邉 正
(10107724)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
25.
片山 寿男
(00043860)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
26.
河津 清
(70037258)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
27.
MIYAZAWA Yasuyuki
(60263761)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
28.
KITAMOTO Takuya
(30241780)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
29.
KAWAI Shigeo
(30186043)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
30.
TAKEUCHI Hiroshi
(20197271)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
31.
TAKAKUWA Shoichiro
(10183435)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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