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Hypersurfaces Immersed in a Conformally Flat Riemannian Manifold : Dedicated to Professor S. Tachibana on his 50th Birthday
http://hdl.handle.net/10083/2235
http://hdl.handle.net/10083/2235f5666e65-a2b1-4837-b9c6-e213727f99e6
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00004829878.pdf (536.9 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-04-30 | |||||
| タイトル | ||||||
| タイトル | Hypersurfaces Immersed in a Conformally Flat Riemannian Manifold : Dedicated to Professor S. Tachibana on his 50th Birthday | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Ogawa, Yosuke
× Ogawa, Yosuke× Sekizawa, Masami |
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| 著者(ヨミ) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 70054 | |||||
| 姓名 | オガワ, ヨウスケ | |||||
| 著者(ヨミ) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 70055 | |||||
| 姓名 | セキザワ, マサミ | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | In 1968, J. Simons [3] has established a formula for the Laplacian of the second fundamental form of a submanifold and has obtained some applications in the case of minimal hypersurfaces in the sphere. A formula of Simons' type has been improved by K. Nomizu and B. Smyth [2] in 1969. Based on the new formula of Simons' type, they have determined hypersurfaces of non-negative sectional curvature and constant mean curvature immersed in the Euclidean space or the sphere under the additional assumption which is satisfied if M is compact. In the present paper, we first obtain a formula of Simons' type (2.11) in the case of a hypersurface M immersed with constant mean curvature in a conformally flat Riemannian manifold M^^〜 which satisfies some additional assumptions. These assumptions are described in terms of the Ricci operator of M^^〜 and naturally satisfied if M^^〜 is a space of constant sectional curvature. _Our main results are the determination of the immersions of M into M^^〜 when M admits non-negative sectional curvature. | |||||
| 書誌情報 |
お茶の水女子大學自然科學報告 巻 27, 号 2, p. 77-87, 発行日 1976-12 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00298190 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00033958 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 形態 | ||||||
| 536894 bytes | ||||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 400 | |||||
| 出版者 | ||||||
| 出版者 | お茶の水女子大学 | |||||
| 資源タイプ | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 紀要論文 | |||||
| 資源タイプ・ローカル | ||||||
| 紀要論文 | ||||||
| 資源タイプ・NII | ||||||
| Departmental Bulletin Paper | ||||||
| 資源タイプ・DCMI | ||||||
| text | ||||||
| 資源タイプ・ローカル表示コード | ||||||
| 03 | ||||||
| 所属 | ||||||
| Department of Mathematics, Faculty of Science, Ochanomizu University | ||||||
| 所属 | ||||||
| Department of Mathematics, Faculty of Education, Tokyo Gakugei University | ||||||
