Spacelike graphs with parallel mean curvature

zbMath1146.53036arXivmath/0602410MaRDI QIDQ2481529

Isabel M. C. Salavessa

Publication date: 10 April 2008

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602410

zbMATH Keywords

isoperimetric inequalityLorentzian manifoldspace-like hypersurfaceparallel and constant mean curvature

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 (14)

Graphic Bernstein results in curved pseudo-Riemannian manifolds ⋮ Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature ⋮ Heinz mean curvature estimates in warped product spaces \(M\times _{e^{\psi }}N\) ⋮ New Calabi-Bernstein type results in Lorentzian product spaces with density ⋮ Weak maximum principles and geometric estimates for spacelike hypersurfaces in generalized Robertson-Walker spacetimes ⋮ On the angle of complete hypersurfaces in semi-Riemannian product spaces ⋮ Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space ⋮ Mean curvature flow of spacelike graphs ⋮ Heinz-type mean curvature estimates in Lorentz-Minkowski space ⋮ Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space ⋮ On the mean curvature of semi-Riemannian graphs in semi-Riemannian warped products ⋮ On vanishing theorems for vector bundle valued \(p\)-forms and their applications ⋮ Bernstein-Heinz-Chern results in calibrated manifolds ⋮ Curvature estimates for graphs over Riemannian domains

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