Hermitian Yang-_Mills--Higgs Metrics onComplete Kähler Manifolds

[摘要] In this paper, first, we will investigate theDirichlet problem for one type of vortex equation, whichgeneralizes the well-known Hermitian Einstein equation. Secondly,we will give existence results for solutions of these vortexequations over various complete noncompact K"ahler manifolds.

[学科分类] 数学（综合）