Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem
type: Item
instance of: scholarly article
title: Complete spacelike hypersurfaces with constant mean curvature in the de Sitter space: a gap theorem
zbMATH Open document ID: 1047.53031
author: Oscar Palmas
author: Aldir jun. Brasil
author: Antonio Gervasio Colares
published in: Illinois Journal of Mathematics
publication date: 2003-10-16T00:00:00Z
review text: The authors study the topology and geometry of space-like surfaces with constant mean curvature in de Sitter space. Their result is a Lorentzian analogue of a theorem of \textit{H. Alencar} and \textit{M. P. do Carmo} [Proc. Am. Math. Soc. 120, 1223--1229 (1994; Zbl 0802.53017)] about hypersurfaces in the sphere. They give a lot of explicit examples of such hypersurfaces.
reviewed by: Jean-François Quint
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 1993673
zbMATH Keywords: de Sitter space
zbMATH Keywords: subvariety
zbMATH Keywords: curvature
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1993673