Abstract
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.
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The first author was supported in part by NSFC (11625106, 11571332, 11721101), the second author was supported by the Fundamental Research Funds for the Central Universities (191gpy239).
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Liu, D., Zhang, P. Hermitian-Einstein Metrics For Higgs Bundles Over Complete Hermitian Manifolds. Acta Math Sci 40, 211–225 (2020). https://doi.org/10.1007/s10473-020-0114-z
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DOI: https://doi.org/10.1007/s10473-020-0114-z