| 关于余辛流形的半不变子流形的一个不等式 |
| |
| 引用本文： | 王爱齐,宋爱民.关于余辛流形的半不变子流形的一个不等式[J].大连铁道学院学报,2006,27(1):8-10. |
| |
| 作者姓名： | 王爱齐 宋爱民 |
| |
| 作者单位： | 大连交通大学数理系 辽宁大连116028 |
| |
| 摘 要： | 对余辛流形的半不变子流形进行研究,利用曲率的分量表示之间的简单的代数关系,得到了这类子流形的R icc i曲率与平均曲率平方之间的一个不等式,并讨论了等式成立的充分必要条件.
|
| 关 键 词： | 余辛流形 半不变子流形 Ricci曲率 平均曲率 |
| 文章编号： | 1000-1670（2006）01-0008-03 |
| 收稿时间： | 2005-05-16 |
| 修稿时间： | 2005-05-16 |
A Basic Inequality of Semi-Invariant Submanifolds in Cosymplectic Space Forms |
| |
| WANG Ai-qi,SONG Ai-min.A Basic Inequality of Semi-Invariant Submanifolds in Cosymplectic Space Forms[J].Journal of Dalian Railway Institute,2006,27(1):8-10. |
| |
| Authors: | WANG Ai-qi SONG Ai-min |
| |
| Institution: | School of Mathematics and physics, Dalian Jiaotong University, Dalian 116028 ,China |
| |
| Abstract: | To find simple relationship between main extrinsic invariant and main intrinsic invariants of a submanifold is one of the natural interests in submanifold theory.In the present paper,a sharp inequality is obtained between the Ricci curvature and the squared mean curvature of semi-invariant submanifolds in cosymplectic space forms,and some conditions are reached to make the equality hold. |
| |
| Keywords: | cosymplectic manifold semi-invariant submanifold Ricci curvature mean curvature |
| 本文献已被 CNKI 维普 等数据库收录！ |
