Hypersurfaces with prescribed angle function
type: Item
instance of: scholarly article
title: Hypersurfaces with prescribed angle function
zbMATH Open document ID: 1312.53082
author: Eraldo A. jun. Lima
author: Ulisses L. Parente
author: Henrique Fernandes de Lima
published in: Pacific Journal of Mathematics
publication date: 2014-12-30T00:00:00Z
review text: This paper is dedicated to the study of two-sided complete hypersurfaces immersed in a Riemannian product space. The authors obtain sufficient conditions to prove such a hypersurface to be a slice of the ambient space under suitable behaviour of its angle function. Moreover, the authors establish a natural relation between the results obtained in this article and the classical problem of the geometry of a hypersurface immersed in Euclidean space through the Gauss map of the angle function. The paper is well written.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 6382651
zbMATH Keywords: Riemannian product spaces
zbMATH Keywords: two-sided complete hypersurfaces
zbMATH Keywords: mean curvature
zbMATH Keywords: height function
zbMATH Keywords: entire vertical graphs
MaRDI profile type: Publication
full work available at URL: pjm.2014.269.393
OpenAlex ID: W1964742413
DOI: 10.2140/PJM.2014.269.393
description: scientific article; zbMATH DE number 6382651