| ON COMPLETE SPACE-LIKE SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR |
| |
| 作者姓名： | Shen Yibing Dong Yuxing |
| |
| 摘 要： | §１．ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＮｎ＋ｐｐｂｅａｎ（ｎ＋ｐ）－ｄｉｍｅｎｓｉｏｎａｌｃｏｎｎｅｃｔｅｄｐｓｅｕｄｏ－Ｒｉｅｍａｎｎｉａｎｍａｎｉｆｏｌｄｏｆｉｎｄｅｘｐ．ＩｆＮｎ＋ｐｐｉｓｃｏｍｐｌｅｔｅａｎｄｈａｓｃｏｎｓｔａｎｔｓｅｃｔｉｏｎ...
|
| 关 键 词： | 伪黎曼流形 空间像子流形 平行平均曲率矢量 二阶基础范式 |
| 收稿时间： | 9/4/1995 12:00:00 AM |
| 修稿时间： | 4/6/1996 12:00:00 AM |
ON COMPLETE SPACE-LIKE SUBMANIFOLDS WITH PARALLEL
MEAN CURVATURE VECTOR |
| |
| Shen Yibing,Dong Yuxing.ON COMPLETE SPACE-LIKE SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR[J].Chinese Annals of Mathematics,Series B,1998,19(3):369-380. |
| |
| Authors: | Shen Yibing and Dong Yuxing |
| |
| Institution: | SHEN YIBIING * DONG YUXING * |
| |
| Abstract: | Let M n be a complete space-like submanifold with parallel mean curvature vector in an indefinite space form N n p p (c).A sharp estimate for the upper bound of the norm of the second fundamental form of M n is obtained. A generalization of this result to complete space-like hypersurfaces with constant mean curvature in a Lorentz manifold is given. Moreover, harmonic Gauss maps of M n in N n p p(c) in a generalized sense are considered. |
| |
| Keywords: | Pseudo-Riemannian manifold Space-like submanifolds Parallel mean curvature vector Second fundamental form |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
