双曲空间H^(n+1)(-1)中完备超曲面(英文)  

ON COMPLETE HYPERSURFACES IN HYPERBOLIC SPACE FORM H^(n+1)(-1)

作　　者：韩英波[1] 冯书香[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《数学杂志》2013年第5期767-772,共6页Journal of Mathematics

基　　金：Supported by NFSC(11201400);NSFC of TianYuan(11026062);Project of Henan Provincial Department of Education(2011A110015);Talent youth teacher fund of Xinyang Normal University

摘　　要：本文研究了双曲空间Hn+1(1)中具有常数量曲率的完备超曲面.利用活动标架的方法,得到此类超曲面的两个刚性定理.In this note, we investigate n-dimensional complete hypersurfaces with constant scalar curvature in hyperbolic space form Hn＋1（-1）. By using the method of moving frames, two rigidity theorems are obtained for these hypersurfaces.

关 键 词：完备超曲面 双曲空间 截面曲率 

分 类 号：O186.1[理学—数学]