On spacelike hypersurfaces with constant scalar curvature in the anti-de Sitter space
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Publication:645474
DOI10.1016/j.difgeo.2011.08.002zbMath1228.53072OpenAlexW2024429674WikidataQ115356793 ScholiaQ115356793MaRDI QIDQ645474
Publication date: 15 November 2011
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.08.002
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items
Ricci curvature of spacelike hypersurfaces in de Sitter space ⋮ Curvature properties of spacelike hypersurfaces in a RW spacetime ⋮ Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps
Cites Work
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- On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
- A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds
- A new characterization of hyperbolic cylinder in anti-de Sitter space \(H_{1}^{n+1} (-1)\)
- On spacelike hypersurfaces with constant mean curvature in the de Sitter space
- Global rigidity theorems of hypersurfaces
- On space-like hypersurfaces with constant mean curvature of a Lorentz space form
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Spacelike hypersurfaces with constant scalar curvature
- On spacelike hypersurfaces with constant scalar curvature in the de Sitter space
- Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in de Sitter space
- On spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms
- On maximal spacelike hypersurfaces in a Lorentzian manifold
- Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
- Complete hypersurfaces in a Euclidean space R^n+1
- Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
