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Hermitian Yang-_Mills--Higgs Metrics on\\Complete Kähler Manifolds

  Published:2005-08-01
 Printed: Aug 2005
  • Xi Zhang
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Abstract

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 K\"ahler manifolds.
Keywords: vortex equation, Hermitian Yang--Mills--Higgs metric, holomorphic vector bundle, Kähler manifolds vortex equation, Hermitian Yang--Mills--Higgs metric, holomorphic vector bundle, Kähler manifolds
MSC Classifications: 58E15, 53C07 show english descriptions Application to extremal problems in several variables; Yang-Mills functionals [See also 81T13], etc.
Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20]
58E15 - Application to extremal problems in several variables; Yang-Mills functionals [See also 81T13], etc.
53C07 - Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) [See also 32Q20]
 

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