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
基金Li Haizhong is supported by NNSFC No.19701017 Basic Science Research Foundation of Tsinghua University Chen Weihua is supported by NNSFC No.19571005
文摘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.