Dimensional reduction of the perturbed Hermitian-Einstein equation

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dc.creatorBradlow, Steven B.
dc.creatorGlazebrook, James F.
dc.creatorKamber, Franz W.
dc.date2004-05-12
dc.date.accessioned2026-07-07T05:08:09Z
dc.date.available2026-07-07T05:08:09Z
dc.descriptionGiven a Kaehlerian holomorphic fiber bundle whose fiber is a compact homogeneous Kaehler manifold, we describe the perturbed Hermitian-Einstein equations relative to certain holomorphic vector bundles. With respect to special metrics on the holomorphic bundles, there is a dimensional reduction procedure which reduces these equations to a system of equations on the base, known as the twisted coupled vortex equations.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0405205
dc.identifierhttp://arxiv.org/abs/math/0405205
dc.identifierProc. in Global Analysis, Diff. Geometry and Lie Algebras, Balkan Geometry Press, Bucharest 2001, pp. 43-62
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71145
dc.subjectDifferential Geometry
dc.subject58D27, 22B40, 32L10, 58G10, 53C07
dc.titleDimensional reduction of the perturbed Hermitian-Einstein equation
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