Spacelike hypersurfaces in anti-de Sitter space

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.

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Bibliographic Details
Published inAdvances in geometry Vol. 14; no. 3; pp. 513 - 522
Main Authors Zhu, Y., Hu, W.
Format Journal Article
LanguageEnglish
Published Berlin De Gruyter 01.07.2014
Walter de Gruyter GmbH
Subjects
anti-de Sitter space
fundamental group
mean curvature
second fundamental form
Spacelike hypersurfaces
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Summary: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.
ISSN:1615-715X
1615-7168
DOI:10.1515/advgeom-2013-0036