%0 Journal Article %T 拟常曲率黎曼流形中子流形的几何不等式的一些注记<br>SOME REMARKS ON GEOMETRIC INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE %A 作者 %A 张攀 %A 张量 %A 宋卫东 %J 数学杂志 %D 2016 %X 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?zgür和Chen的一些结果.<br>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 ?zgür and Chen's %K Chen不等式 Chen-Ricci不等式 卷积 拟常曲率< %K br> %K Chen's inequalities Chen-Ricci inequalities warped product quasi-constant curvature %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20160301&flag=1