余辛流形的半不变子流形的Ricci曲率

On Ricci Curvature of Semi-invariant Submanifolds in Cosymplectic Space Forms

中文关键词:  余辛流形  半不变子流形  Ricci曲率  平均曲率.

英文关键词:cosymplectic manifold  semi-invariant submanifold  Ricci curvature  mean curvature.

中文摘要:

      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一个不等式,并讨论了等式成立的充分必要条件.

英文摘要:

      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.