Height estimates and topology at infinity of hypersurfaces immersed in a certain class of warped products
type: Item
instance of: scholarly article
title: Height estimates and topology at infinity of hypersurfaces immersed in a certain class of warped products
zbMATH Open document ID: 1398.53070
published in: Aequationes Mathematicae
publication date: 2018-08-20T00:00:00Z
review text: In this paper, the authors obtain height estimates for hypersurfaces immersed in a class of warped products of the type \(\mathbb R\times_{\rho}M^n\), under the assumption that some higher-order mean curvatures are linearly related. As an application, they prove half-space theorems, which give information concerning the topology at infinity of such a hypersurface \(\Sigma^n\) when the fiber \(M^n\) is compact and \(\Sigma^n\) is noncompact, two-sided and properly immersed. Furthermore, when \(M^n\) is not necessarily compact, using a generalized version of the Omori-Yau maximum principle for trace-type differential operators, they establish new half-space theorems for these hypersurfaces.
reviewed by: Atsushi Fujioka
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 6920392
zbMATH Keywords: warped products
zbMATH Keywords: generalized linear Weingarten hyper surfaces
zbMATH Keywords: height estimates
zbMATH Keywords: two-sided hyper surfaces
zbMATH Keywords: half-space theorems
author: Eudes L. De Lima
author: Henrique Fernandes de Lima
MaRDI profile type: Publication
full work available at URL: s00010-018-0552-9
OpenAlex ID: W2799463345
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Wikidata QID: Q129932905
DOI: 10.1007/S00010-018-0552-9
description: scientific article; zbMATH DE number 6920392