Maximal surface equation on a Riemannian 2-manifold with finite total curvature

DOI10.1016/j.geomphys.2015.02.011zbMath1317.58022OpenAlexW2091722498WikidataQ115353104 ScholiaQ115353104MaRDI QIDQ2347276

Rafael M. Rubio, Juan Jesús Salamanca

Publication date: 27 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.02.011

zbMATH Keywords

finite total curvatureLorentzian geometrymaximal surface equation

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Parabolicity of maximal surfaces in Lorentzian product spaces
• On subharmonic functions and differential geometry in the large
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• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• New examples of Calabi-Bernstein problems for some nonlinear equations.
• Uniqueness of maximal surfaces in generalized Robertson-Walker spacetimes and Calabi-Bernstein type problems
• Generalized maximal surfaces in Lorentz–Minkowski space L³
• Simple proof of Calabi-Bernstein’s Theorem on maximal surfaces
• NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS
• New proof of the Calabi-Bernstein theorem

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