拟常曲率黎曼流形中子流形的几何不等式的一些注记（英文）  

SOME REMARKS ON GEOMETRIC INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE

作　　者：张攀[1] 张量[1] 宋卫东[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《数学杂志》2016年第3期445-457,共13页Journal of Mathematics

基　　金：Supported by the Foundation for Excellent Young Talents of Higher Education of Anhui Province(2011SQRL021ZD)

摘　　要：本文研究了拟常曲率黎曼流形中子流形的Chen不等式.利用代数技巧,建立了Chen广义不等式、Chen-Ricci不等式和关于卷积函数和平均曲率平方的不等式,推广了zgr和Chen的一些结果.In this paper,we study Chen＇s inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature.By using algebraic techniques,we establish Chen＇s general inequalities,Chen-Ricci inequalities and inequalities between the warping function and the squared mean curvature,which generalize several rusults of Ozgiir and Chen＇s.

关 键 词：Chen不等式 Chen-Ricci不等式 卷积 拟常曲率 

分 类 号：O186.12[理学—数学]