Spacelike Hypersurfaces in Conformally Stationary Spacetimes

DOI10.1007/978-3-030-41321-7_13zbMath1450.53059OpenAlexW3015569971MaRDI QIDQ5119628

Luis J. Alías, Antonio Caminha, F. Y. do Nascimento

Publication date: 31 August 2020

Published in: Recent Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41321-7_13

zbMATH Keywords

maximum principle at infinityhigher-order mean curvaturesfuture second fundamental form

Mathematics Subject Classification ID

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

Cites Work

• The geometry of closed conformal vector fields on Riemannian spaces
• A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems
• A maximum principle at infinity with applications to geometric vector fields
• On spacelike hypersurfaces of constant sectional curvature Lorentz manifolds
• Maximum Principles and Geometric Applications
• Spacelike hypersurfaces of constant mean curvature in certain spacetimes
• 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
• The Herbrand topos

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