| ファイル情報(添付) |
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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| タイトル |
GEOMETRY OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE IN TERMS OF THEIR GEODESICS
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| 著者 | |
| 収録物名 |
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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| 巻 | 51 |
| 開始ページ | 1 |
| 終了ページ | 5 |
| 収録物識別子 |
ISSN 1342-7121
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| 内容記述 |
抄録・要旨
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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| 言語 |
英語
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| 資源タイプ | 紀要論文 |
| 出版者 |
総合理工学部
The Interdisciplinary Graduate School of Science and Engineering
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| 発行日 | 2018-03 |
| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 関連情報 |
ソウゴウ リコウ ガクブ
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