在S_1^(n+1)空间中具有常数量曲率的类空超曲面的高斯映射(英文)

On the Gauss Map of Spacelike Hypersurfaces with Constant Scalar Curvature in De Sitter Space

在这篇文章中,我们研究在de Sitter空间中具有非负常值的第r个平均曲率的紧致的类空超曲面.我们证明了在合适的条件下紧致的类空超曲面是全脐的.

In this paper,we consider compact spacelike hypersurfaces in de Sitter space with constant nonnegative r-mean curvature, We prove that the compact spacelike hypersurfaces are totally umbilical under appopariate hypothesis.