Simple proof of Calabi-Bernstein’s Theorem on maximal surfaces
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Publication:4875593
DOI10.1090/S0002-9939-96-03596-4zbMath0853.53042MaRDI QIDQ4875593
Publication date: 9 January 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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On the mean curvature of spacelike surfaces in certain three-dimensional Robertson-Walker spacetimes and Calabi-Bernstein's type problems ⋮ On the maximal number of exceptional values of Gauss maps for various classes of surfaces ⋮ Chern-Ricci harmonic functions on zero mean curvature surfaces in the three-dimensional Lorentz-Minkowski space and the rigidity of Enneper's surface ⋮ Rigidity of parabolic and stable spacelike hypersurfaces in a generalized Robertson-Walker spacetime ⋮ New examples of Calabi-Bernstein problems for some nonlinear equations. ⋮ A Weierstrass representation for linear Weingarten spacelike surfaces of maximal type in the Lorentz-Minkowski space. ⋮ Thoughts on the Busemann equation ⋮ The classical Calabi-Bernstein theorem revisited ⋮ NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS ⋮ Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime ⋮ On maximal surfaces in certain non-flat 3-dimensional Robertson-Walker spacetimes ⋮ Uniqueness of maximal surfaces in generalized Robertson-Walker spacetimes and Calabi-Bernstein type problems ⋮ New proof of the Calabi-Bernstein theorem ⋮ Calabi-Bernstein-type problems for some nonlinear equations arising in Lorentzian geometry ⋮ Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces ⋮ Maximal surface equation on a Riemannian 2-manifold with finite total curvature
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