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Dirichlet problem for Hermitian-Einstein equation over almost Hermitian manifold

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Abstract

In this paper, we investigate the Dirichlet problem for Hermitian-Einstein equation on complex vector bundle over almost Hermitian manifold, and we obtain the unique solution of the Dirichlet problem for Hermitian-Einstein equation.

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Authors and Affiliations

  1. Department of Mathematics, China Jiliang University, Hangzhou, 310018, P. R. China

    Yue Wang & ** Zhang

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  1. Yue Wang
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  2. ** Zhang
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Corresponding author

Correspondence to ** Zhang.

Additional information

The first author is supported in part by National Natural Science Foundation of China (Grant No. 10901147) and the Ministry of Education Doctoral Fund 20060335133; the second author is supported in part by National Natural Science Foundation of China (Grant Nos. 10831008 and 11071212)

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Wang, Y., Zhang, X. Dirichlet problem for Hermitian-Einstein equation over almost Hermitian manifold. Acta. Math. Sin.-English Ser. 28, 1249–1260 (2012). https://doi.org/10.1007/s10114-011-0018-7

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  • DOI: https://doi.org/10.1007/s10114-011-0018-7

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