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Hermitian-Poisson Metrics on Flat Bundles over Complete Hermitian Manifolds |
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Citation: |
Changpeng PAN.Hermitian-Poisson Metrics on Flat Bundles over Complete Hermitian Manifolds[J].Chinese Annals of Mathematics B,2021,42(4):575~582 |
Page view: 573
Net amount: 484 |
Authors: |
Changpeng PAN; |
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Abstract: |
In this paper, the author solves the Dirichlet problem for Hermitian-Poisson metric equation √?1ΛωGH = λId and proves the existence of Hermitian-Poisson metrics on flat bundles over a class of complete Hermitian manifolds. When λ = 0, the HermitianPoisson metric is a Hermitian harmonic metric. |
Keywords: |
Flat bundle, Hermitian harmonic metric, Hermitian-poisson metric,Complete Hermitian manifolds |
Classification: |
53C07, 58J35 |
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