Special Lagrangians, stable bundles and mean curvature flow

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dc.creatorThomas, R. P.
dc.creatorYau, S. -T.
dc.date2001-04-19
dc.date2002-12-16
dc.date.accessioned2026-07-07T04:41:23Z
dc.date.available2026-07-07T04:41:23Z
dc.descriptionWe make a conjecture about mean curvature flow of Lagrangian submanifolds of Calabi-Yau manifolds, expanding on \cite{Th}. We give new results about the stability condition, and propose a Jordan-Hölder-type decomposition of (special) Lagrangians. The main results are the uniqueness of special Lagrangians in hamiltonian deformation classes of Lagrangians, under mild conditions, and a proof of the conjecture in some cases with symmetry: mean curvature flow converging to Shapere-Vafa's examples of SLags.
dc.description36 pages, 4 figures. Minor referee's corrections
dc.identifierhttps://arxiv.org/abs/math/0104197
dc.identifierhttp://arxiv.org/abs/math/0104197
dc.identifierCommunications in Analysis and Geometry 10, 1075-1113, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61338
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14J32; 53C44
dc.titleSpecial Lagrangians, stable bundles and mean curvature flow
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