摘要
The purpose of this paper is twofold.We first solve the Dirichlet problem forτ-Hermitian-Einstein equations on holomorphic filtrations over compact Hermitian manifolds.Secondly,by using Uhlenbeck-Yau’s continuity method,we prove the existence of approximateτ-Hermitian-Einstein structure on holomorphic filtrations over closed Gauduchon manifolds.
基金
Pan Zhang is supported by the Fundamental Research Funds for the Central Universities(No.19lgpy239).
