Minimizing area among Lagrangian surfaces: the mapping problem

dc.creatorSchoen, Richard
dc.creatorWolfson, Jon G.
dc.date2000-08-28
dc.date2000-11-13
dc.date.accessioned2026-07-07T04:37:05Z
dc.date.available2026-07-07T04:37:05Z
dc.descriptionThis paper introduces a geometrically constrained variational problem for the area functional. We consider the area restricted to the langrangian surfaces of a Kaehler surface, or, more generally, a symplectic 4-manifold with suitable metric, and study its critical points and in particular its minimizers. We apply this study to the problem of finding canonical representatives of the lagrangian homology (that part of the homology generated by lagrangian cycles).
dc.descriptionAbstract added in migration (from introduction)
dc.identifierhttps://arxiv.org/abs/math/0008244
dc.identifierhttp://arxiv.org/abs/math/0008244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59830
dc.subjectDifferential Geometry
dc.titleMinimizing area among Lagrangian surfaces: the mapping problem
dc.typetext

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