A sharp height estimate for compact spacelike hypersurfaces with constant \(r\)-mean curvature in the Lorentz-Minkowski space and application

DOI10.1016/j.difgeo.2007.11.033zbMath1144.53080OpenAlexW2165755555WikidataQ115357613 ScholiaQ115357613MaRDI QIDQ931154

Henrique Fernandes de Lima

Publication date: 25 June 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.11.033

zbMATH Keywords

space-like hypersurfacesLorentz-Minkowski spacehigher order mean curvaturesheight estimatehypersurfaces with boundary

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 (6)

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 ⋮ Stable compact spacelike hypersurfaces in the de Sitter space as maxima of a linear combination of area and volume ⋮ 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 ⋮ Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space

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