| SPACELIKE SUBMANIFOLDS IN THE DE SITTER SPACE S_p~(n+p)(c) WITH CONSTANT SCALAR CURVATURE |
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| 作者姓名： | Zhang JianfengDept. of Math. Zhejiang Univ. Hangzhou China. |
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| 作者单位： | Zhang JianfengDept. of Math.，Zhejiang Univ.，Hangzhou 310028，China. |
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| 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 Simons1 1 ] ,there have been many rigidity results formaximal spacelike submanifolds a…
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SPACELIKE SUBMANIFOLDS IN THE DE SITTER SPACE S_p~(n+p)(c) WITH CONSTANT SCALAR CURVATURE |
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| 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(2). |
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| Authors: | Zhang JianfengDept of Math Zhejiang Univ Hangzhou China |
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| Institution: | Zhang JianfengDept. of Math.,Zhejiang Univ.,Hangzhou 310028,China. |
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| Abstract: | |
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| Keywords: | spacelike submanifold scalar curvature parallel mean curvature vector |
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