| 常曲率空间的带有平坦法丛的子流形 |
| |
| 引用本文： | 罗治国.常曲率空间的带有平坦法丛的子流形[J].湖南师范大学自然科学学报,1988(2). |
| |
| 作者姓名： | 罗治国 |
| |
| 作者单位： | 湖南师范大学数学系 |
| |
| 摘 要： | 本文通过对于子流形的第二基本形式的长度平方的Laplacian的讨论,得到了常曲率黎曼流形中带有平坦法丛的子流形为全脐点子流形的一个充分条件。并利用该条件将M.Okumura得到的结果推广到任意常曲率流形的情形。
|
| 关 键 词： | 子流形 平坦法丛 全脐点子流形 |
SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF CONSTANT CURVATURE WITH FLAT NORMAL BUNDLE |
| |
| Luo Zhiguo.SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF CONSTANT CURVATURE WITH FLAT NORMAL BUNDLE[J].Journal of Natural Science of Hunan Normal University,1988(2). |
| |
| Authors: | Luo Zhiguo |
| |
| Institution: | Luo Zhiguo Department of Mathematics |
| |
| Abstract: | This paper give a sufficient condition for a submanifold in a Riemannian man-ifold of constant curvature with flat normal bundle to de totally umbilical,and appliesthis condition to generalize the result obtained by M.Okumura to any Riemannianmanifold of constant curvature. |
| |
| Keywords: | submanifold flat normal bundle totally umbilical submanifold |
| 本文献已被 CNKI 等数据库收录！ |
