On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space
type: Item
instance of: scholarly article
title: On the curvatures of bounded complete spacelike hypersurfaces in the Lorentz-Minkowski space
zbMATH Open document ID: 0991.53037
author: Juan A. Aledo
author: Luis J. Alías
published in: Manuscripta Mathematica
publication date: 2002-02-06T00:00:00Z
review text: The authors prove that spacelike hyperplanes in a Lorentz-Minkowski space \(L\) are the only complete spacelike hypersurfaces with constant mean curvature which are between two parallel spacelike hyperplanes. Similarly, they show that the only complete spacelike hypersurfaces with constant mean curvature in \(L\) which are between two concentric hyperbolic spaces are the hyperbolic spaces. Finally, there are given some a priori estimates for the higher order mean curvatures, the scalar curvature and the Ricci curvature of a complete spacelike hypersurface in \(L\) which is bounded by a hyperbolic space.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1441733
zbMATH Keywords: Lorentz-Minkowski space
zbMATH Keywords: spacelike hypersurfaces
zbMATH Keywords: hyperbolic spaces
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
full work available at URL: s002290050223
OpenAlex ID: W1483360437
DOI: 10.1007/S002290050223
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description: scientific article; zbMATH DE number 1441733