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Hermitian Yang–Mills–Higgs Metrics on Complete Kähler Manifolds

Published online by Cambridge University Press:  20 November 2018

Xi Zhang
Xi Zhang*
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, P. R. China, e-mail: xizhang@zju.edu.cn
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Abstract

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In this paper, first, we will investigate the Dirichlet problem for one type of vortex equation, which generalizes the well-known Hermitian Einstein equation. Secondly, we will give existence results for solutions of these vortex equations over various complete noncompact Kähler manifolds.

Keywords

58E1553C07vortex equationHermitian Yang–Mills–Higgs metricholomorphic vector bundleKähler manifolds
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 4 , 01 August 2005 , pp. 871 - 896
Copyright
Copyright © Canadian Mathematical Society 2005

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