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
The authors define strongly Gauduchon spaces and the class■■, which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kahlerian, the strongly Gauduchon space and the cl...The authors define strongly Gauduchon spaces and the class■■, which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kahlerian, the strongly Gauduchon space and the class■are similar to the Kahler space and the Fujiki class■■ respectively. Some properties about these complex spaces are obtained. Moreover, the relations between the strongly Gauduchon spaces and the class■■ are studied.展开更多
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 analyze the asymptotic behaviour of the Hermitian-Yang-Mills flow over a compact non-Kahler manifold(X,g)with the Hermitian metric g satisfying the Gauduchon and Astheno-Kahler condition.
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.
文摘The authors define strongly Gauduchon spaces and the class■■, which are generalization of strongly Gauduchon manifolds in complex spaces. Comparing with the case of Kahlerian, the strongly Gauduchon space and the class■are similar to the Kahler space and the Fujiki class■■ respectively. Some properties about these complex spaces are obtained. Moreover, the relations between the strongly Gauduchon spaces and the class■■ are studied.
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.
基金supported by National Natural Science Foundation of China(Grant No.11131007)。
文摘In this paper,we analyze the asymptotic behaviour of the Hermitian-Yang-Mills flow over a compact non-Kahler manifold(X,g)with the Hermitian metric g satisfying the Gauduchon and Astheno-Kahler condition.
