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SHIMA Hirohiko
志磨 裕彦
Connect your ORCID iD
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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
Except Principal Investigator
Geometry
/
代数学・幾何学
/
Geometry
/
解析学
/
Algebra
/
Global analysis
Keywords
Except Principal Investigator
affine differential geometry / 情報幾何学 / 対称空間 / 部分多様体 / 双対接続 / グラスマン幾何 / Hessian manifolds / アファイン微分幾何学 / Hesse構造 / totally geodesic submanifold
…
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/ 接触幾何学 / projective differential geometry / オイラー標数 / Hesse計量 / information geometry / リー代数 / 射影部分多様体 / Codazzi structure / 射影的平坦接続 / Hessian多様体 / 対称部分多様体 / Lie algebra / cut-and-paste / Grassmann geometry / fibring over the circle / リー群 / Codazzi構造 / hypergeometric system / contact geometry / symmetric space / 全測地的部分多様体 / コポルディズム / Hessian構造 / projective submanifold / 自己双対 / fixed points / メービウス反転 / コボルディズム / symmetric submanifold / 古典的商環 / Gauss写像 / 有界対称領域 / Kaehler幾何学 / 同変写像 / Hesse geometry / 巾零幾何 / SK-group / Hessian structure / Hessian metric / 臨界軌道 / exchange property / dual connection / n-harmonic map / 変分問題 / Hessian structures / line congruence / Hessian metrics / symmetric R-space / 確率分布族 / コントラスト関数 / 積分表示 / Kahler geometry / QF-環 / SK群 / Oreの条件 / 不動点 / Φ-trivial extension / ジョルダン三項対 / 同変臨界点論 / コンバクト対称空間 / アファイン幾何学 / ユニタリ表現 / 不変関数 / シンプレクティック幾何 / 等長変換群 / 平坦接続 / partial differential equation of 1st order / variational problem / submanifold / 商環 / Smith同値 / 接表現 / 双対構造 / p-harmonic map / 線叢 / アルチン環 / 平面代数曲線 / family of probability distributions / continuous加群 / affine Chern classes / Hesse多様体 / cobordism / flat affine manifold / SK同値 / projective invariant / G-manifolds / Weierstrass点 / 調和関数 / 可積分系 / 一階偏微分方程式系 / 左不変計量 / 群作用 / 臨界値 / 不動点多様体 / n-調和写像 / 共形幾何構造 / dual connections / Codazzi structures / p-調和写像 / 臨界軌道型 / レフシェッツ数 / 対称R-空間 / integrable system / flat vector bundle / Lie group / 射影不変量 / Kahler manifold / G多様体 / Fisher情報計量 / 有理型函数 / ヘシアン幾何 / Kahler幾何学 / Lie代数 / 情報幾何 / Hessian manifold / 不動点指数 / Information geometry / projective invariants / ジョルダン代数 / torsion理論 / 幾何構造 / SK-equivalence / Jordan algebra / Nakayama自己同型 / 射影微分幾何学 / コンパクトLie群 / 超幾何系 / 閉リ-マン面 / Kahler多様体 / Euler characteristics
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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 :
14results
# of Collaborated Products :
0results
2.
KOMIYA Katsuhiro
(00034744)
# of Collaborated Projects :
13results
# of Collaborated Products :
0results
3.
INOUE Toru
(00034728)
# of Collaborated Projects :
13results
# of Collaborated Products :
0results
4.
NAITOH Hiroo
(10127772)
# of Collaborated Projects :
13results
# of Collaborated Products :
0results
5.
KATO Takao
(10016157)
# of Collaborated Projects :
6results
# of Collaborated Products :
0results
6.
柳 研二郎
(90108267)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
7.
大城 紀代市
(90034727)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
8.
久田見 守
(80034734)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
9.
ANDO Yoshifumi
(80001840)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
10.
倉田 吉喜
(30034698)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
11.
SAKAI Takeshi
(00022682)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
12.
KANEYUKI Souji
(40022553)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
13.
YAMAGUCHI Keizo
(00113639)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
14.
YOSHIDA Masaaki
(30030787)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
15.
YOSHIMURA Hiroshi
(00182824)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
16.
菊政 勲
(70234200)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
17.
HATAYA Yasushi
(20294621)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
18.
MAKINO Tetsu
(00131376)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
19.
柳原 宏
(30200538)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
20.
佐藤 肇
(30011612)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
21.
TAKANO Kyoichi
(10011678)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
22.
TAKAYAMA Nobuki
(30188099)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
23.
坂根 由昌
(00089872)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
24.
渡邉 正
(10107724)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
25.
片山 寿男
(00043860)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
26.
河津 清
(70037258)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
27.
MIYAZAWA Yasuyuki
(60263761)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
28.
KITAMOTO Takuya
(30241780)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
29.
KAWAI Shigeo
(30186043)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
30.
TAKEUCHI Hiroshi
(20197271)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
31.
TAKAKUWA Shoichiro
(10183435)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
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