Complete hypersurfaces immersed in a semi-Riemannian warped product
type: Item
instance of: scholarly article
title: Complete hypersurfaces immersed in a semi-Riemannian warped product
zbMATH Open document ID: 1238.53035
author: Joseílson R. De Lima
author: Henrique Fernandes de Lima
published in: Differential Geometry and its Applications
publication date: 2012-03-08T00:00:00Z
review text: The authors investigate the uniqueness of complete hypersurfaces immersed in a semi-Riemannian warped product space of \(n\) dimensions in the case when the warping function has a convex logarithm and a fiber of constant sectional curvature. They establish that under certain conditions such a hypersurface is a slice. Contents include: Introduction; Riemannian immersions in semi-Riemannian manifolds; Semi-Riemannian warped products; Proofs of Theorems 1.1 and 1.2 and their corollaries; References (twenty-five items).
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C99
zbMATH DE Number: 6013284
zbMATH Keywords: complete hypersurfaces
zbMATH Keywords: semi-Riemannian warped product spaces
zbMATH Keywords: immersions
zbMATH Keywords: slices
reviewed by: Joseph D. Zund
Wikidata QID: Q115356743
MaRDI profile type: Publication
full work available at URL: j.difgeo.2011.11.010
OpenAlex ID: W2067413273
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DOI: 10.1016/J.DIFGEO.2011.11.010
description: scientific article; zbMATH DE number 6013284