| 容有一无穷小共形变换的拟常曲率黎曼流形 |
| |
| 引用本文： | 黄大富.容有一无穷小共形变换的拟常曲率黎曼流形[J].江西师范大学学报(自然科学版),1989(2). |
| |
| 作者姓名： | 黄大富 |
| |
| 作者单位： | 江西师范大学数学系 |
| |
| 摘 要： | 本文研究具有数量曲率为常数又容有一无穷小非等距共形变换的拟常曲率黎曼流形,发现此类流形在一定条件下与球面等距.
|
| 关 键 词： | 黎曼流形 拟常曲率 数量曲率 共形变换 李导数 |
Quasi-constant Curvature Riemannian Manifold Admit an Infinitesimal Conformal Transformations |
| |
| Huang Dafu.Quasi-constant Curvature Riemannian Manifold Admit an Infinitesimal Conformal Transformations[J].Journal of Jiangxi Normal University (Natural Sciences Edition),1989(2). |
| |
| Authors: | Huang Dafu |
| |
| Institution: | Dept.of Math. |
| |
| Abstract: | In this paper we establish the following main results. Suppose that M~n is a manifold of guasi-constant curvature and admitt- ing an infinitesimal conformal transformations,then M~n is isometric to a sphere. |
| |
| Keywords: | Riemannian manifold guasi-constant curvature scalar curvature conformal transformation lie derivative |
| 本文献已被 CNKI 等数据库收录！ |
