Description of surfaces associated with Grassmannian sigma models on Minkowski space

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dc.creatorGrundland, A. M.
dc.creatorSnobl, L.
dc.date2005-01-13
dc.date.accessioned2026-07-07T06:31:06Z
dc.date.available2026-07-07T06:31:06Z
dc.descriptionWe construct and investigate smooth orientable surfaces in su(N) algebras. The structural equations of surfaces associated with Grassmannian sigma models on Minkowski space are studied using moving frames adapted to the surfaces. The first and second fundamental forms of these surfaces as well as the relations between them as expressed in the Gauss-Weingarten and Gauss-Codazzi-Ricci equations are found. The scalar curvature and the mean curvature vector expressed in terms of a solution of Grassmanian sigma model are obtained.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0501200
dc.identifierhttp://arxiv.org/abs/math/0501200
dc.identifierJ. Math. Phys. 46, 083508 (2005)
dc.identifierdoi:10.1063/1.1996369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98516
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject70H06; 53A05
dc.titleDescription of surfaces associated with Grassmannian sigma models on Minkowski space
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