1. CJM 2005 (vol 57 pp. 871)
||Hermitian Yang-_Mills--Higgs Metrics on\\Complete KÃ¤hler Manifolds |
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, KÃ¤hler manifolds