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Essential Conformal Fields in Pseudo-Riemannian Geometry. II
http://hdl.handle.net/2261/1358
http://hdl.handle.net/2261/13587cb7696b-6487-436b-80d3-0b746cf6f706
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms040308.pdf (130.7 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Essential Conformal Fields in Pseudo-Riemannian Geometry. II | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | conformal compactification | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | projective quadric | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Kuhnel, W.
× Kuhnel, W. |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study conformal vector fields on pseudo- Riemannian manifolds. In the case of conformally flat manifolds, the main tool is the conformal development map into the projective quadric. On the other hand, we show that there exists a pseudo-Riemannian manifold carrying a complete and essential vector field which is not conformally flat. The example implies that there is no finite dimensional moduli space for such manifolds. Therefore, a pseudo-Riemannian analogue of Alekseevskii's theorem on the classification of essential conformal vector fields cannot be expected. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 4, 号 3, p. 649-662, 発行日 1997 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1484606 | ||||||
| Mathmatical Subject Classification | ||||||
| 53C50(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 53A30(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1997-02-19 | ||||||
