Integral formulas for compact spacelike hypersurfaces in de sitter space and their applications to Goddard's conjecture |
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| Authors: | Li Haizhong Chen Weihuan |
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| Institution: | (1) Department of Applied Mathematics, Tsinghua University, 100084 Beijing, China;(2) Department of Mathematics, Peking University, 100871 Beijing, China |
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| Abstract: | We establish integral formulas of Minkowski's type for compact spacelike hypersurfaces in de sitter spaceS
1
n+1
(1) and give their applications to the case of constantr-th mean curvature (r=1,2,…,n−1). Whenr=1 we recover Montiel's result.
Li Haizhong is supported by NNSFC No.19701017 and Basic Science Research Foundation of Tsinghua University and Chen Weihua
is supported by NNSFC No. 19571005 |
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| Keywords: | Spacelike hypersurfaces de Sitter space Goddard's conjecture |
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