NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES  

作　　者：杨登允 许洪伟 付海平 

机构地区：[1]College of Mathematics and Information Science, Jiangxi Normal University [2]Center of Mathematics Sciences, Zhejiang University [3]Department of Mathematics, Nanchang University

出　　处：《Acta Mathematica Scientia》2013年第5期1269-1274,共6页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(11226078;11071211;11261038)

摘　　要：Let M be a closed extremal hypersurface in S^n＋1 with the same mean curvature of the Willmore torus Wm,n-m.We proved that if Spec^p（M） = Spec^p（Wm,n-m ） for p = 0, 1, 2, then M is Wm,m.Let M be a closed extremal hypersurface in S^n＋1 with the same mean curvature of the Willmore torus Wm,n-m.We proved that if Spec^p（M） = Spec^p（Wm,n-m ） for p = 0, 1, 2, then M is Wm,m.

关 键 词：SPECTRUM Laplace operator extremal hypersurface 

分 类 号：O186.11[理学—数学] O171[理学—基础数学]