Complete spacelike hypersurfaces with constant mean curvature in \(-\mathbb R\times \mathbb H^n\)

DOI10.1016/j.jmaa.2010.02.039zbMath1193.53124OpenAlexW2077885017MaRDI QIDQ973994

Alma L. Albujer, Henrique Fernandes de Lima, Fernanda Ester Camillo Camargo

Publication date: 26 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.039

zbMATH Keywords

mean curvaturespacelike hypersurfaceLorentzian product space

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (13)

Entire radially symmetric graphs with prescribed mean curvature in warped product spaces ⋮ On complete spacelike hypersurfaces in a semi-Riemannian warped product ⋮ On the rigidity of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime ⋮ On the geometry of maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime ⋮ A Bernstein type theorem in \(\mathbb R\times\mathbb H^n\) ⋮ Constant mean curvature spacelike hypersurfaces in standard static spaces: rigidity and parabolicity ⋮ On the unicity of complete hypersurfaces immersed in a semi-Riemannian warped product ⋮ Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space ⋮ On Bernstein-type theorems in semi-Riemannian warped products ⋮ On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products ⋮ Warping functions of some warped products ⋮ Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes ⋮ Complete spacelike hypersurfaces in a Robertson–Walker spacetime

Cites Work

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• New examples of entire maximal graphs in \(\mathbb H^2 \times \mathbb R_1\)
• Complete vertical graphs with constant mean curvature in semi-Riemannian warped products
• Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Isometric immersions of Riemannian manifolds
• Harmonic functions on complete riemannian manifolds
• INTEGRAL FORMULAE FOR SPACELIKE HYPERSURFACES IN CONFORMALLY STATIONARY SPACETIMES AND APPLICATIONS
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
• Spacelike hypersurfaces with constant mean curvature in the steady state space

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