A characterization of hyperbolic cylinders in the de Sitter space
type: Item
instance of: scholarly article
title: A characterization of hyperbolic cylinders in the de Sitter space
zbMATH Open document ID: 0848.53039
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1996-06-16T00:00:00Z
review text: The author proves the following Theorem: A complete spacelike hypersurface in the de Sitter spacetime \(S^{n+1}_1\) with constant mean curvature \(H\) satisfying \(H^2 = 4(n -1)/n^2\) which is not connected at infinity must be, up to ridid motions, a certain hyperbolic cylinder.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 889573
zbMATH Keywords: de Sitter space
zbMATH Keywords: spacelike hypersurface
zbMATH Keywords: constant mean curvature
author: Sebastián Montiel
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225410
OpenAlex ID: W2021273345
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DOI: 10.2748/TMJ/1178225410
description: scientific article; zbMATH DE number 889573