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Some Remarks on Bochner Curvature Tensors
https://doi.org/10.24517/00011721
https://doi.org/10.24517/00011721e68e70f5-d647-4ae0-8ca6-05b1d001ec72
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-10-03 | |||||
タイトル | ||||||
タイトル | Some Remarks on Bochner Curvature Tensors | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.24517/00011721 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Sato, Takuji
× Sato, Takuji |
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著者別表示 |
佐藤, 卓治
× 佐藤, 卓治 |
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書誌情報 |
金沢大学工学部紀要 = Memoirs of the Faculty of Technology Kanazawa University 巻 11, 号 2, p. 1-7, 発行日 1978-03-25 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-832X | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00044309 | |||||
出版者 | ||||||
出版者 | 金沢大学工学部 = Faculty of Technology Kanazawa University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This paper deals with the study of Kähler manifolds via Bochner curvature tensors. Similar study has been done by Kulkarni 4), 5), 6), where he has shown that many curvature preserving mappings between Rieamannian manifolds (or Kähler manifolds) reduce to conformal or isometric mappings. In the first section, we shall study K-curvature-like tensors on almost Hermitian manifolds which include Riemannian curvature tensors, Bochner curvature tensors, and so on. In the second section, we shall consider Bochner curvature tensors on Kähler manifolds. The characterizations of the Kähler manifold with vanishing Bochner curvature tensor have been obtained by many authors. We shall give some other conditions for vanishing Bochner curvature tensor in Theorem 2. In Theorem 3, we show an analogous result to Kulkarni for a HB-preserving mapping. |
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著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |