A nonlinear inequality arising in geometry and Calabi-Bernstein type problems

DOI10.1155/2010/950380zbMath1223.26035OpenAlexW2125783917WikidataQ59253173 ScholiaQ59253173MaRDI QIDQ608017

Alfonso Romero, Rafael M. Rubio

Publication date: 6 December 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224034

zbMATH Keywords

Riemannian manifoldwarping functionCalabi-Bernstein-type problems

Mathematics Subject Classification ID

Inequalities involving other types of functions (26D07)

Related Items (8)

A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems ⋮ Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi–Bernstein-type problems ⋮ On the scalar curvature of spacelike hypersurfaces in generalized Robertson Walker spacetimes ⋮ On uniqueness of the foliation by comoving observers restspaces of a generalized Robertson-Walker spacetime ⋮ On maximal surfaces in certain non-flat 3-dimensional Robertson-Walker spacetimes ⋮ Spacelike graphs of finite total curvature in certain 3-dimensional generalized Robertson-Walker spacetime ⋮ Calabi-Bernstein-type problems for some nonlinear equations arising in Lorentzian geometry ⋮ Complete hypersurfaces immersed in a semi-Riemannian warped product

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• General Relativity for Mathematicians
• Zero mean curvature surfaces with non–negative curvature in flat Lorentzian 4–spaces
• New proof of the Calabi-Bernstein theorem
• Constant mean curvature spacelike surfaces in three-dimensional generalized Robertson-Walker spacetimes

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