Abstract
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.
Keywords : Spacelike hypersurfaces; anti-de Sitter space; second fundamental form; fundamental group; mean curvature.
Published Online: 2014-7-8
Published in Print: 2014-7-1
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Masthead
- On axiomatic definitions of non-discrete affine buildings
- On Clifford analysis for holomorphic mappings
- Universal points of convex bodies and bisectors in Minkowski spaces
- The equal tangents property
- Some theorems of harmonic maps for Finsler manifolds
- The regular Grünbaum polyhedron of genus 5
- On the existence of nilsolitons on 2-step nilpotent Lie groups
- Rotational linear Weingarten hypersurfaces in the Euclidean sphere Sn+1
- Spacelike hypersurfaces in anti-de Sitter space
- The group of strong symplectic homeomorphisms in the L∞-metric
- The total Betti number of the intersection of three real quadrics
- On the algebraic models of symmetric smooth manifolds
- Non-existence of tight neighborly triangulated manifolds with β1 = 2
Keywords for this article
Spacelike hypersurfaces;
anti-de Sitter space;
second fundamental form;
fundamental group;
mean curvature.
Articles in the same Issue
- Masthead
- On axiomatic definitions of non-discrete affine buildings
- On Clifford analysis for holomorphic mappings
- Universal points of convex bodies and bisectors in Minkowski spaces
- The equal tangents property
- Some theorems of harmonic maps for Finsler manifolds
- The regular Grünbaum polyhedron of genus 5
- On the existence of nilsolitons on 2-step nilpotent Lie groups
- Rotational linear Weingarten hypersurfaces in the Euclidean sphere Sn+1
- Spacelike hypersurfaces in anti-de Sitter space
- The group of strong symplectic homeomorphisms in the L∞-metric
- The total Betti number of the intersection of three real quadrics
- On the algebraic models of symmetric smooth manifolds
- Non-existence of tight neighborly triangulated manifolds with β1 = 2