Abstract
In this paper, the author solves the Dirichlet problem for Hermitian-Poisson metric equation \(\sqrt { - 1} {\Lambda _\omega }{G_H} = \lambda {\rm{Id}}\) and proves the existence of Hermitian-Poisson metrics on flat bundles over a class of complete Hermitian manifolds. When λ = 0, the Hermitian-Poisson metric is a Hermitian harmonic metric.
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Acknowledgement
The author would like to express his deep gratitude to Prof. Xi Zhang for numerous help and valuable guidance.
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Pan, C. Hermitian-Poisson Metrics on Flat Bundles over Complete Hermitian Manifolds. Chin. Ann. Math. Ser. B 42, 575–582 (2021). https://doi.org/10.1007/s11401-021-0279-0
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DOI: https://doi.org/10.1007/s11401-021-0279-0