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.
Debin LIU
,
Pan ZHANG
. HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS[J]. Acta mathematica scientia, Series B, 2020
, 40(1)
: 211
-225
.
DOI: 10.1007/s10473-020-0114-z
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