Villarceau foliated solitons in the two-dimensional \(\text O(3)\) nonlinear sigma model
type: Item
instance of: scholarly article
title: Villarceau foliated solitons in the two-dimensional \(\text O(3)\) nonlinear sigma model
zbMATH Open document ID: 1119.58009
author: Manuel Barros
author: Magdalena Caballero
author: Miguel Ortega
published in: Journal of Geometry and Physics
publication date: 2006-12-07T00:00:00Z
review text: The authors show the existence of solitons in the 2D \(\text O(3)\) nonlinear sigma model (NSM2) which admit a foliation by Villarceau circles. They apply a explicit geometric algorithm to find the required solutions. The method exploits the conformal invariance of the NSM2 functional, the principle of symmetric criticality, and the theory of clamped elasticae. Also, the topological charge of the NSM2 solitons is computed.
reviewed by: Bang-Yen Chen
Mathematics Subject Classification ID: 58E12
Mathematics Subject Classification ID: 58E50
zbMATH DE Number: 5078792
zbMATH Keywords: Villarceau circles
zbMATH Keywords: nonlinear sigma model
zbMATH Keywords: soliton
MaRDI profile type: Publication
full work available at URL: j.geomphys.2006.02.010
OpenAlex ID: W2158350037
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DOI: 10.1016/J.GEOMPHYS.2006.02.010
description: scientific article; zbMATH DE number 5078792