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.
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.
出处
《大连铁道学院学报》
2006年第1期8-10,共3页
Journal of Dalian Railway Institute
关键词
余辛流形
半不变子流形
RICCI曲率
平均曲率
cosympleetie manifold
semi-invariant submanifold
Ricci curvature
mean curvature.
