In this paper, we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitian manifolds. Then we prove the existence of the Hermitian-Einstein metrics on Higgs bundles over a class of complete Hermitian manifolds.
机构:
Mathematics Section,International Centre for Theoretic Physics,P.O.Box 586,34100 Trieste,ItalyMathematics Section,International Centre for Theoretic Physics,P.O.Box 586,34100 Trieste,Italy