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Integral Formulas for Compact Spacelike Hypersurfaces in de Sitter Space and their Applications to Goddard's Conjecture 被引量:10
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作者 Li Haizhong (Department of Applied Mathematics,Tsinghua University,Beijing 100084,China)(Email:hli@math.tsinghua.edu.cn)Chen Weihuan (Department of Mathematics,Peking University,Beijing 100871,China)(Email:whchen@sxx0.math.pku,edu.cn) 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1998年第2期285-288,共4页
We establish integral formulas of Minkowski’s type for compact spacelike hypersurfaces in de sitter space S<sub>1</sub><sup>n+1</sup>(1)and give their applications to the case of constant r-... We establish integral formulas of Minkowski’s type for compact spacelike hypersurfaces in de sitter space S<sub>1</sub><sup>n+1</sup>(1)and give their applications to the case of constant r-th mean curvature (r=1,2,…,n-1).When r=1 we recover Montiel’s result. 展开更多
关键词 spacelike hypersurfaces de sitter space goddard’s conjecture
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