Abstract
We establish integral formulas of Minkowski's type for compact spacelike hypersurfaces in de sitter spaceS n+11 (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.
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References
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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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Haizhong, L., Weihuan, C. Integral formulas for compact spacelike hypersurfaces in de sitter space and their applications to Goddard's conjecture. Acta Mathematica Sinica 14, 285–288 (1998). https://doi.org/10.1007/BF02560214
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DOI: https://doi.org/10.1007/BF02560214