Surfaces associated with sigma models and the sine-Gordon equation

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dc.creatorGrundland, A. M.
dc.creatorSnobl, L.
dc.date2006-01-12
dc.date.accessioned2026-07-07T06:58:51Z
dc.date.available2026-07-07T06:58:51Z
dc.descriptionWe present a unified method of construction of surfaces associated with Grassmannian sigma models, expressed in terms of an orthogonal projector. This description leads to compact formulae for structural equations of two-dimensional surfaces immersed in the su(N) algebra. In the special case of the CP^1 sigma model we obtain constant negative Gaussian curvature surfaces. As a consequence, this leads us to an explicit relation between the CP^1 sigma model and the sine-Gordon equation.
dc.description36 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0601302
dc.identifierhttp://arxiv.org/abs/math/0601302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107528
dc.subjectDifferential Geometry
dc.subject14J81; 17B80
dc.titleSurfaces associated with sigma models and the sine-Gordon equation
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