Addendum to ``Spacelike hypersurfaces with constant higher order mean curvature in the Minkowski space-time''
type: Item
instance of: scholarly article
title: Addendum to ``Spacelike hypersurfaces with constant higher order mean curvature in the Minkowski space-time''
zbMATH Open document ID: 1023.53053
DOI: 10.1016/S0393-0440(01)00081-X
author: Juan A. Aledo
author: Luis J. Alías
author: J. Miguel Malacarne
author: José A. Pastor
published in: Journal of Geometry and Physics
publication date: 2002-06-23T00:00:00Z
review text: Two of the authors developed in [\textit{L. J. Alías} and \textit{J. M. Malacarne}, ibid. 41, No. 4, 359-375 (2002; Zbl 1013.53035)] a series of integral formulas for compact spacelike hypersurfaces in \((n+1)\)-dimensional Minkowski space-time. Here the following theorem and its proof are added to that paper. Assume that two mean curvatures \(H_k\) and \(H_1\) of a compact spacelike hypersurface \(M\) with spherical boundary in Minkowski space-time are proportional: \(H_k= cH_1\), \(c=\text{const}\). Then \(M\) is either a hyperplanar ball or a hyperbolic cap.
reviewed by: Rainer Schimming
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 1758096
zbMATH Keywords: Minkowski space-time
zbMATH Keywords: hypersurface
zbMATH Keywords: mean curvatures
MaRDI profile type: Publication
cites work: Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time
cites work: Q3262807
full work available at URL: s0393-0440(01)00081-x
OpenAlex ID: W1964326689
description: scientific article; zbMATH DE number 1758096