Numerical Algorithms for Finding Balanced Metrics on Vector Bundles

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dc.creatorSeyyedali, Reza
dc.date2008-04-24
dc.date2008-12-06
dc.date.accessioned2026-07-07T12:09:28Z
dc.date.available2026-07-07T12:09:28Z
dc.descriptionIn \cite{D3}, Donaldson defines a dynamical system on the space of Fubini-Study metrics on a polarized compact Kähler manifold. Sano proved that if there exists a balanced metric for the polarization, then this dynamical system always converges to the balanced metric (\cite{S}). In \cite{DKLR}, Douglas, et. al., conjecture that the same holds in the case of vector bundles. In this paper, we give an affirmative answer to their conjecture.
dc.identifierhttps://arxiv.org/abs/0804.4005
dc.identifierhttp://arxiv.org/abs/0804.4005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209640
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.titleNumerical Algorithms for Finding Balanced Metrics on Vector Bundles
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