Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps
type: Item
instance of: scholarly article
title: Complete spacelike hypersurfaces with constant scalar curvature: descriptions and gaps
zbMATH Open document ID: 1491.53071
DOI: 10.1215/00192082-9619615
author: Henrique Fernandes de Lima
author: Antonio Gervasio Colares
author: Eudes L. De Lima
published in: Illinois Journal of Mathematics
publication date: 2022-02-01T00:00:00Z
full work available at URL: 00192082-9619615.full
review text: This paper is a study of complete space-like hypersurfaces of constant scalar curvature which are immersed in Lorentzian space forms. The authors obtain sharp inequalities on the total umbilicity tensor of such submanifolds and completely describe the submanifolds that realize these bounds.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 7467751
zbMATH Keywords: Lorentzian space forms
zbMATH Keywords: space-like hypersurfaces
zbMATH Keywords: umbilicity tensor
zbMATH Keywords: Okumura inequality
zbMATH Keywords: Omori-Yau maximal principle
reviewed by: James Hebda
MaRDI profile type: Publication
OpenAlex ID: W4206637015
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description: scientific article; zbMATH DE number 7467751