关于余辛流形的半不变子流形的一个不等式

A Basic Inequality of Semi-Invariant Submanifolds in Cosymplectic Space Forms

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.

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.