Spacelike hypersurfaces in anti-de Sitter space

作者：Zhu Yecheng^*; Hu Wenming

来源：Advances in Geometry, 2014, 14(3): 513-522.

DOI：10.1515/advgeom-2013-0036

• Spacelike hypersurfaces
• anti-de Sitter space
• second fundamental form
• fundamental group
• mean curvature

In this paper, we study closed spacelike hypersurfaces in anti-de Sitter space. Using the Bonnet-Myers theorem, we obtain a rigidity theorem for spacelike hypersurfaces without the constancy condition on the mean curvature or the scalar curvature.

• 出版日期2014-7
• 单位安徽工业大学