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Hermitian-Einstein Metrics For Higgs Bundles Over Complete Hermitian Manifolds

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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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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China

    Debin Liu  (刘德娬)

  2. School of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China

    Pan Zhang  (张攀)

Authors
  1. Debin Liu  (刘德娬)
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  2. Pan Zhang  (张攀)
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Corresponding author

Correspondence to Pan Zhang  (张攀).

Additional information

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

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