Surfaces in three-dimensional Lie groups

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dc.creatorBerdinsky, Dmitry A.
dc.creatorTaimanov, Iskander A.
dc.date2005-03-30
dc.date2005-11-14
dc.date.accessioned2026-07-07T06:39:41Z
dc.date.available2026-07-07T06:39:41Z
dc.descriptionWe derive the Weierstrass (or spinor) representation for surfaces in three-dimensional Lie groups Nil, \tilde{SL}_2, and Sol with Thurston's geometries and establish the generating equations for minimal surfaces in these groups. By using the spectral properties of the corresponding Dirac operators we find analogs of the Willmore functional for surfaces in these geometries.
dc.description20 pages, some references added
dc.identifierhttps://arxiv.org/abs/math/0503707
dc.identifierhttp://arxiv.org/abs/math/0503707
dc.identifierSiberian Mathematical Journal 46 (2005), 1005-1019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101167
dc.subjectDifferential Geometry
dc.titleSurfaces in three-dimensional Lie groups
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