一类具有平行平均曲率和有限全曲率的完备子流形  

Some Complete Submanifolds with Parallel Mean Curvature and Finite Total Curvature

作　　者：王一令[1] 

机构地区：[1]华东师范大学数学系,上海200062

出　　处：《数学学报（中文版）》2002年第4期719-730,共12页Acta Mathematica Sinica：Chinese Series

基　　金：上海市重点学科建设基金资助项目

摘　　要：本文把Berard P.,do Carmo M.,Santos W.在1998年所得的结果,分别推广到局部对称的Cartan-Hadamard流形中具有常平均曲率和有限全曲率的完备超曲面,以及球面上具有平行平均曲率和有限全曲率的完备子流形.In this paper, we advanced the result obtained by Berard P., do Carmo M., Santos W. to the complete non-compact orientable hypersurface in a locally symmetric Riemannian manifold with constant mean curvature and finite total curvature, and also to the complete submanifold in a sphere with parallel mean curvature and finite total curvature.

关 键 词：局部对称 无迹第二基本形式 有限全曲率 

分 类 号：O186.6[理学—数学]