| 李奇曲率平行的黎曼流形的曲率张量模长 |
| |
| 引用本文： | 陈建华.李奇曲率平行的黎曼流形的曲率张量模长[J].数学学报,1996,39(3):345-348. |
| |
| 作者姓名： | 陈建华 |
| |
| 作者单位： | 锦州师范学院数学系 |
| |
| 摘 要： | 李安民和赵国松［１］提出了下面的问题：找出李奇曲率平行的黎曼流形的曲率张量模长的最佳拼挤常数并确定达到该值的流形．本文确定了非爱因斯坦流形的最佳拼挤常数和达到该值的黎曼流形．在ｎ１２时，回答了［１］中提出的问题．
|
| 关 键 词： | 李奇曲率，黎曼曲率，拼挤常数 |
| 收稿时间： | 1994-7-13 |
The Length of Curvature Tensor for Riemannian Manifold with Parallel Ricci Curvature |
| |
| Chen Jianhua.The Length of Curvature Tensor for Riemannian Manifold with Parallel Ricci Curvature[J].Acta Mathematica Sinica,1996,39(3):345-348. |
| |
| Authors: | Chen Jianhua |
| |
| Institution: | Chen Jianhua(Department of Mathematics,Jinzhou Teacher's College, Jinzhou 121003, China) |
| |
| Abstract: | Li Anmin and Zhao Guosong proposed the following problems in 1]: Find the best pinching constant with respect to the length of curvature tensor for Riemannian manifold with parallel Ricci curvature tensor and determine the Riemannian manifolds with this constant. In this article, we obtain the best pinching constant for non-Einstein manifolds and determine the manifolds with this constallt. When,this answers the above problems. |
| |
| Keywords: | Ricci curvature Riemannian curvature Pinching constant |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
