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1. CJM 2005 (vol 57 pp. 871)
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Hermitian Yang-_Mills--Higgs Metrics on\\Complete Kähler 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, Kähler manifolds Categories:58E15, 53C07 |