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GEOMETRY OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE IN TERMS OF THEIR GEODESICS
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エンバーゴ :
2019-02-25
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| Title |
GEOMETRY OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE IN TERMS OF THEIR GEODESICS
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| Creator | |
| Source Title |
島根大学総合理工学部紀要.シリーズB
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics
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| Volume | 51 |
| Start Page | 1 |
| End Page | 5 |
| Journal Identifire |
ISSN 1342-7121
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| Descriptions |
Abstract
This paper is the survey of joint works with K. Ogiue ([7]) and B.H. Kim, I.B. Kim ([5]). Geodesic spheres G(r) are fundamental examples of (real) hypersurfaces in a Riemannian manifold. In this paper, as an ambient space we take an ndimensional complex projective space CPn(c); n ≧ 2 of constant holomorphic sectional curvature c(> 0). By observing geodesics on G(r) in CPn(c) we characterize all G(r) (0 < r < =pc ) (Theorems 1 and 2)and some G(r) which are called Berger spheres (Theorem 3).
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| Language |
eng
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| Resource Type | departmental bulletin paper |
| Publisher |
総合理工学部
The Interdisciplinary Graduate School of Science and Engineering
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| Date of Issued | 2018-03 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
ソウゴウ リコウ ガクブ
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