| 关于黎曼流形的H-稳定子流形的几个定理 |
| |
| 引用本文： | 张文彬.关于黎曼流形的H-稳定子流形的几个定理[J].四川师范大学学报(自然科学版),1992(1). |
| |
| 作者姓名： | 张文彬 |
| |
| 作者单位： | 乐山师范专科学校 四川乐山市 |
| |
| 摘 要： | 本文利用法变分,给出了任意余维数的定向闭黎曼流形成为H-稳定子流形的一个充要条件,并得到几个相应的推论,推广了Chen(1973)和Willmore等(1972)的结果.
|
| 关 键 词： | 黎曼流形 H-稳定子流形 法变分 |
SOME THEOREMS ON TH STABLE SUBMANIFOLD OF A RIEMANNIAN MANIFOLD |
| |
| Zhang Wenbin Leshan Teacher's College,Leshan Sichuan.SOME THEOREMS ON TH STABLE SUBMANIFOLD OF A RIEMANNIAN MANIFOLD[J].Journal of Sichuan Normal University(Natural Science),1992(1). |
| |
| Authors: | Zhang Wenbin Leshan Teacher's College Leshan Sichuan |
| |
| Institution: | Zhang Wenbin Leshan Teacher's College,Leshan 614000 Sichuan |
| |
| Abstract: | In this paper, A necessury and sufficient condition for the submanifold of a Riemannian manifold as a stable submanifold is obtained according to the normal variation, which extends the results of Bangyen Chen and T.J. Willmore. |
| |
| Keywords: | H-stable submanifold normal variation Riemannian malnifold |
| 本文献已被 CNKI 等数据库收录！ |
