Area monotonicity for spacelike surfaces with constant mean curvature

DOI10.1016/j.geomphys.2004.03.008zbMath1074.53051OpenAlexW2074181090MaRDI QIDQ556224

Rafael López

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.03.008

zbMATH Keywords

constant mean curvaturespace-like surfaceco-area formula

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) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space ⋮ Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Height estimates and half-space type theorems in weighted product spaces with nonnegative Bakry-Émery-Ricci curvature ⋮ A sharp height estimate for compact spacelike hypersurfaces with constant \(r\)-mean curvature in the Lorentz-Minkowski space and application ⋮ Generalized linear Weingarten spacelike hypersurfaces in GRW spacetimes: height estimates and half-space theorems ⋮ Space-like hypersurfaces with positive constant \(r\) -mean curvature in Lorentzian product spaces ⋮ Convexity of the solutions to the constant mean curvature spacelike surface equation in the Lorentz-Minkowski space ⋮ Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space

Cites Work

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• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• Eigenfunctions and nodal sets
• Compact spacelike surfaces with constant mean curvature in the Lorentz-Minkowski 3-space
• Constant mean curvature spacelike hypersurfaces with spherical boundary in the Lorentz-Minkowski space

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