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 me...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.展开更多
In this paper,we establish a generalized Hitchin–Kobayashi correspondence between theτ-semi-stability and the existence of approximateτ-Hermitian–Einstein structure on holomorphic pair(E,φ)over the compact Gauduc...In this paper,we establish a generalized Hitchin–Kobayashi correspondence between theτ-semi-stability and the existence of approximateτ-Hermitian–Einstein structure on holomorphic pair(E,φ)over the compact Gauduchon manifold.展开更多
基金Pan Zhang is supported by the Fundamental Research Funds for the Central Universities(No.19lgpy239).
文摘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.
文摘In this paper,we establish a generalized Hitchin–Kobayashi correspondence between theτ-semi-stability and the existence of approximateτ-Hermitian–Einstein structure on holomorphic pair(E,φ)over the compact Gauduchon manifold.
