On Weingarten surfaces in Euclidean and Lorentzian 3-space
type: Item
instance of: scholarly article
title: On Weingarten surfaces in Euclidean and Lorentzian 3-space
zbMATH Open document ID: 1205.53020
published in: Differential Geometry and its Applications
publication date: 2010-07-08T00:00:00Z
review text: From the authors' abstract: Several uniqueness results for the space-like slices in certain Robertson-Walker space-times are proved under boundedness assumptions either on the mean curvature function of the space-like surface or on the restriction of the time coordinate on the surface when the mean curvature is a constant. In the nonparametric case, a uniqueness and a nonexistence result are proved for bounded entire solutions of some constant mean curvature space-like differential equations.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53A25
zbMATH DE Number: 5731966
zbMATH Keywords: mean curvature
zbMATH Keywords: space-like surface
zbMATH Keywords: Robertson-Walker space-time
zbMATH Keywords: Calabi-Bernstein's problem
author: Brendan Guilfoyle
author: Wilhelm Klingenberg
reviewed by: Kazim İlarslan
Wikidata QID: Q115357132
MaRDI profile type: Publication
full work available at URL: j.difgeo.2009.12.002
OpenAlex ID: W2081209615
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DOI: 10.1016/J.DIFGEO.2009.12.002
description: scientific article; zbMATH DE number 5731966