近拟常曲率空间中双重卷积子流形的不等式

Inequalities for Doubly Warped Product Submanifold in a Riemannian Manifold of Nearly Quasi-constant Curvature

利用代数引理和基本方程得到关于近拟常曲率流形双重卷积子流形的几何不等式,建立关于Ricci曲率和平均曲率的不等式,并讨论不等式中等号成立的条件.

In this paper,we obtained a geometric inequality for doubly warped product submanifolds in a Riemannian manifold of nearly quasi-constant curvature by using algebraic lemma and fundamental equations.We also established an inequality involving Ricci curvature and mean curvature,and discussed the equality conditions of the inequalities.