Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
type: Item
instance of: scholarly article
title: Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
zbMATH Open document ID: 1183.53050
author: Bang-Yen Chen
published in: Central European Journal of Mathematics
publication date: 2009-11-24T00:00:00Z
review text: The author classifies spatial surfaces with parallel mean curvature vector in pseudo-Riemannian space forms with non-vanishing curvature. Together with a previous paper of the author [Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension. J. Math. Phys. 50, No. 4, Paper No. 043504 (2009; Zbl 1214.53021)], this achieves the complete classification of spatial surfaces with parallel mean curvature vector in all pseudo-Riemannian space forms.
reviewed by: Sorin Dumitrescu
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 83C15
zbMATH DE Number: 5637492
zbMATH Keywords: pseudo-Riemannian space form
zbMATH Keywords: parallel mean curvature vector
zbMATH Keywords: isometric immersions
Wikidata QID: Q115227877
MaRDI profile type: Publication
full work available at URL: s11533-009-0020-9
OpenAlex ID: W2018879378
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DOI: 10.2478/S11533-009-0020-9
description: scientific article; zbMATH DE number 5637492