| Project/Area Number |
11640079
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Shimane University |
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Principal Investigator |
MAEDA Sadahiro Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (40181581)
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| Co-Investigator(Kenkyū-buntansha) |
KIMURA Makoto Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (30186332)
HATTORI Yasunao Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (20144553)
FURUMOCHI Tetsuo Shimane University, Interdisplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (40039128)
ADACHI Toshiaki Nagoya Institute of Technology, Faculty of Engineering, Associate Professor, 工学部, 助教授 (60191855)
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| Project Period (FY) |
1999 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2000: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1999: ¥1,800,000 (Direct Cost: ¥1,800,000)
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| Keywords | isoparametric hypersurface / homogeneous real hypersurface / geodesic / circle / real space form / complex space form / geodesic sphere / Killing vector field / 複素射影空間 / 実超曲面 / 螺旋 |
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| Research Abstract |
(1) By investigating the extrinsic shape of geodesics of all isoparametric hypersurfaces in a real space form we characterize such hypersurfaces. (Canadian Math.Bull.)
(2) From the viewpoint of (1) we characterize all homogeneous real hypersurfaces in a complex projective space. (Archiv der Math.)
(3) We study geometric properties of circles in a compact Hermitian symmetric space. (Tsukuba J.Math.)
(4) Investigating the holomorphic distribution of homogeneous real hypersurfaces of type A1, A2 or type B, we characterize such real hypersurfaces. (Czechoslovak Math.J.)
(5) By investigating the holomorphic distribution of all homogeneous real hypersurfaces we characterize them. (Tokyo J.Math.)
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