2003 Fiscal Year Final Research Report Summary
Submanifold Theory and Study of Circles
| Project/Area Number |
14540080
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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, Interdisciplinary of 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 IFSE, Shimane University, Professor, 総合理工学部, 教授 (30186332)
HATTORI Yasunao IFSE, Shimane University, Professor, 総合理工学部, 教授 (20144553)
FURUMOCHI Tetsuo IFSE, Shimane University, Professor, 総合理工学部, 教授 (40039128)
ADACHI Toshiaki Nagoya Institute of Technology, Professor, 工学部, 教授 (60191855)
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| Project Period (FY) |
2002 – 2003
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| Keywords | symmetric spaces / geodesic spheres / constant isotropic submanifolds / Killing ordinary helices / complex space forms / Veronese embeddings / extrinsic spheres |
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| Research Abstract |
(1) We study length spectrum of geodesic spheres in rank one symmetric spaces.
(2) We characterize constant isotropic immersions by circles.
(3) We investigate bondedness and unboundedness of Killing ordinary helices on a complex hyperbolic plane, respectively.
(4) We show that every real hypersurface of a nonflat complex space form is irreducible.
(5) We characterize extrinsic spheres in a Riemannian manifold by circles.
(6) We characterize Veronese embeddings of complex projective spaces into complex projective spaces by circles.
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