摘要
本文研究了余辛流形的半不变子流形,得到了这类子流形的Ricci曲率与平均曲率平方之间的—个不等式,并讨论了等式成立的充分必要条件．
In this paper, we obtain a sharp inequality between the Ricci curvature and the squared mean curvature of semi-invariant submanifolds in cosymplectic space forms, and get some conditions to make the equality hold.
基金
高等学校博士学科点专项科研基金(20050141011)
关键词
余辛流形
半不变子流形
RICCI曲率
平均曲率
cosymplectic manifold
semi-invariant submanifold
Ricci curvature
mean curvature
