吉林大学学报(理学版)2016,Vol.54Issue(5):952-958,7.DOI:10.13413/j.cnki.jdxblxb.2016.05.05
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
摘要
Abstract
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.关键词
不等式/子流形/近拟常曲率空间/双重卷积Key words
inequality/submanifold/Riemannian manifold of nearly quasi-constant curvature/doubly warped product分类
数理科学引用本文复制引用
苏曼,张量..近拟常曲率空间中双重卷积子流形的不等式[J].吉林大学学报(理学版),2016,54(5):952-958,7.基金项目
安徽省高校优秀青年人才基金(批准号:2011SQRL021ZD) (批准号:2011SQRL021ZD)