Villarceau foliated solitons in the two-dimensional \(\text O(3)\) nonlinear sigma model

DOI10.1016/j.geomphys.2006.02.010zbMath1119.58009OpenAlexW2158350037MaRDI QIDQ856767

Manuel Barros, Magdalena Caballero, Miguel Ortega

Publication date: 7 December 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.02.010

zbMATH Keywords

solitonnonlinear sigma modelVillarceau circles

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (1)

Rotational surfaces in \({\mathbb{L}^3}\) and solutions of the nonlinear sigma model

Cites Work

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• Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
• Willmore tori in non-standard 3-spheres
• Vortices in a nonminimal Maxwell-Chern-Simons O(3) sigma model.
• On topological terms in the O(3) nonlinear sigma model

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