Dimensional reduction of the perturbed Hermitian-Einstein equation

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Given 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.
13 pages

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Differential Geometry, 58D27, 22B40, 32L10, 58G10, 53C07

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http://salesiana.dossiersoluciones.com/handle/123456789/71145

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405205
 http://arxiv.org/abs/math/0405205
 Proc. in Global Analysis, Diff. Geometry and Lie Algebras, Balkan Geometry Press, Bucharest 2001, pp. 43-62

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arXiv