Spacelike hypersurfaces with free boundary in the Minkowski space under the effect of a timelike potential
type: Item
instance of: scholarly article
title: Spacelike hypersurfaces with free boundary in the Minkowski space under the effect of a timelike potential
zbMATH Open document ID: 1129.53050
author: Rafael López
published in: Communications in Mathematical Physics
publication date: 2007-05-31T00:00:00Z
review text: The author considers a variational principle for space-like hypersurfaces in \((n+1)\)-dimensional Minkowski space. The boundaries of the hypersurfaces are confined to a given space-like hyperplane \(\Pi\). A hypersurface is a solution to the variational problem if its mean curvature is a linear function of the distance to \(\Pi\) and if it makes a constant angle with \(\Pi\) along its boundary. It is proven that any such hypersurface is rotationally symmetric around an axis perpendicular to \(\Pi\).
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 49Q05
zbMATH DE Number: 5159614
reviewed by: Volker Perlick
MaRDI profile type: Publication
full work available at URL: s00220-006-0063-8
OpenAlex ID: W2171667914
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DOI: 10.1007/S00220-006-0063-8
description: scientific article; zbMATH DE number 5159614