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SPACELIKE SUBMANIFOLDS IN THE DE SITTER SPACE S_p~(n+p)(c) WITH CONSTANT SCALAR CURVATURE
引用本文:Zhang JianfengDept. of Math.,Zhejiang Univ.,Hangzhou 310028,China.. SPACELIKE SUBMANIFOLDS IN THE DE SITTER SPACE S_p~(n+p)(c) WITH CONSTANT SCALAR CURVATURE[J]. 高校应用数学学报(英文版), 2005, 0(2)
作者姓名:Zhang JianfengDept. of Math.  Zhejiang Univ.  Hangzhou 310028  China.
作者单位:Zhang JianfengDept. of Math.,Zhejiang Univ.,Hangzhou 310028,China.
摘    要:§ 1  IntroductionL et Sn+ pp (c) (c>0 ) be an (n+p) - dimensional connected de Sitter space and Mn be aspacelike submanifold isometrically immersed in Sn+ pp (c) . We say Mn is closed if it iscompact and without boundary.Denote by R,H and S the normalized scalar curvature,themean curvature and the square of the length of the second fundamental form of Mn,respectively.By application of the technique of Simons[1 1 ] ,there have been many rigidity results formaximal spacelike submanifolds a…


SPACELIKE SUBMANIFOLDS IN THE DE SITTER SPACE S_p~(n+p)(c) WITH CONSTANT SCALAR CURVATURE
Zhang JianfengDept. of Math.,Zhejiang Univ.,Hangzhou ,China.. SPACELIKE SUBMANIFOLDS IN THE DE SITTER SPACE S_p~(n+p)(c) WITH CONSTANT SCALAR CURVATURE[J]. Applied Mathematics A Journal of Chinese Universities, 2005, 0(2)
Authors:Zhang JianfengDept. of Math.  Zhejiang Univ.  Hangzhou   China.
Affiliation:Zhang JianfengDept. of Math.,Zhejiang Univ.,Hangzhou 310028,China.
Abstract:
Keywords:spacelike submanifold  scalar curvature  parallel mean curvature vector.
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