On the volume and the Gauss map image of spacelike hypersurfaces in de Sitter space
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Publication:2781264
DOI10.1090/S0002-9939-01-06133-0zbMath0999.53018OpenAlexW1498841447MaRDI QIDQ2781264
Publication date: 19 March 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06133-0
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (13)
A conformal representation for linear Weingarten surfaces in the de Sitter space ⋮ On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form ⋮ Characterizations of immersed gradient almost Ricci solitons ⋮ On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime ⋮ Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form. ⋮ On the umbilicity of complete constant mean curvature spacelike hypersurfaces ⋮ On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space ⋮ On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces ⋮ On the volume and Gauss map image of spacelike submanifolds in de Sitter space form ⋮ On the Gauss mapping of hypersurfaces with constant scalar curvature in \(\mathbb H^{n+1}\) ⋮ Nomizu-Smyth type results in the hyperbolic and De Sitter spaces via Gauss-Kronecker curvature ⋮ r-Stablity Index of r-Maximal Closed Hypersurfaces in de Sitter Spaces ⋮ UPPER AND LOWER BOUNDS FOR THE VOLUME OF A COMPACT SPACELIKE HYPERSURFACE IN A GENERALIZED ROBERTSON–WALKER SPACETIME
Cites Work
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- The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space
- On spacelike hypersurfaces with constant mean curvature in the de Sitter space
- On the Ricci curvature of compact spacelike hypersurfaces in de Sitter space
- Global rigidity theorems of hypersurfaces
- On the Gauss image of a spacelike hypersurface with constant mean curvature in Minkowski space
- Spacelike hypersurfaces with constant scalar curvature
- Integral formulas for compact space-like hypersurfaces in de Sitter space: Applications to the case of constant higher order mean curvature
- On space-like hypersurfaces in the de Sitter space
- Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces
- On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space
- On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space
- On Automorphisms of A Kählerian Structure
- Some remarks on the existence of spacelike hypersurfaces of constant mean curvature
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