Hermitian-Poisson Metrics on Flat Bundles over Complete Hermitian Manifolds

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;
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
Download PDF Full-Text

主管单位:国家教育部 主办单位:复旦大学 地址:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn

本系统由北京勤云科技发展有限公司提供技术支持