拟常曲率黎曼流形中子流形的几何不等式的一些注记
SOME REMARKS ON GEOMETRIC INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE

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.
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