Uniqueness of complete maximal surfaces in certain Lorentzian product spacetimes

DOI10.1016/J.JMAA.2015.10.071zbMath1330.53078OpenAlexW1852850549WikidataQ126177315 ScholiaQ126177315MaRDI QIDQ898857

Alfonso Romero, Eraldo A. jun. Lima

Publication date: 21 December 2015

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.2015.10.071

zbMATH Keywords

maximal surfaceCalabi-Bernstein resultLorentzian product spacetime

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (4)

Rigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetime ⋮ Complete stationary spacelike surfaces in an \(n\)-dimensional generalized Robertson-Walker spacetime ⋮ Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product ⋮ Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces

Cites Work

• Unnamed Item
• Parabolicity of maximal surfaces in Lorentzian product spaces
• Graphic Bernstein results in curved pseudo-Riemannian manifolds
• New examples of entire maximal graphs in \(\mathbb H^2 \times \mathbb R_1\)
• Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Uniqueness of noncompact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space
• Isometric immersions of Riemannian manifolds
• Calabi–Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces
• On maximal spacelike hypersurfaces in a Lorentzian manifold
• Harmonic functions on complete riemannian manifolds
• NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS
• Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes

This page was built for publication: Uniqueness of complete maximal surfaces in certain Lorentzian product spacetimes