On Donaldson's flow of surfaces in a hyperkahler four-manifold

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dc.creatorSong, Jian
dc.creatorWeinkove, Ben
dc.date2006-06-16
dc.date.accessioned2026-07-07T12:28:08Z
dc.date.available2026-07-07T12:28:08Z
dc.descriptionWe prove some basic properties of Donaldson's flow of surfaces in a hyperkahler 4-manifold. When the initial submanifold is symplectic with respect to one Kähler form and Lagrangian with respect to another, we show that certain kinds of singularities cannot form, and we prove a convergence result under a condition related to one considered by M.-T. Wang for the mean curvature flow.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0606394
dc.identifierhttp://arxiv.org/abs/math/0606394
dc.identifierMath. Z. 256 (2007), no. 4, 769--787
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215440
dc.subjectDifferential Geometry
dc.titleOn Donaldson's flow of surfaces in a hyperkahler four-manifold
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