Dimensional reduction of the perturbed Hermitian-Einstein equation
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0405205,
title = {Dimensional reduction of the perturbed Hermitian-Einstein equation},
author = {Steven B. Bradlow and James F. Glazebrook and Franz W. Kamber},
journal= {arXiv preprint arXiv:math/0405205},
year = {2007}
}
Comments
13 pages