On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime

DOI10.1007/S00022-012-0122-6zbMath1271.53055OpenAlexW2050124775MaRDI QIDQ1926117

Henrique Fernandes de Lima

Publication date: 27 December 2012

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-012-0122-6

zbMATH Keywords

complete space-like hypersurfacesRobertson-Walker space-timeBernstein-type properties

Mathematics Subject Classification ID

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

Related Items (2)

Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems ⋮ Uniqueness and nonexistence of complete spacelike hypersurfaces, Calabi-Bernstein type results and applications to Einstein-de Sitter and steady state type spacetimes

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• 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
• Constant mean curvature spacelike surfaces in three-dimensional generalized Robertson-Walker spacetimes

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