In this paper,we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitian manifolds.Then we prove the existence of the Hermitian-Einstein metrics on Higgs bundles over a...In this paper,we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitian manifolds.Then we prove the existence of the Hermitian-Einstein metrics on Higgs bundles over a class of complete Hermitian manifolds.展开更多
In this paper, we investigate the Dirichlet problem for Hermitian-Einstein equation on complex vector bundle over almost Hermitian manifold, and we obtain the unique solution of the Dirichlet problem for Hermitian-Ein...In this paper, we investigate the Dirichlet problem for Hermitian-Einstein equation on complex vector bundle over almost Hermitian manifold, and we obtain the unique solution of the Dirichlet problem for Hermitian-Einstein equation.展开更多
Let M be a compact complex manifold of complex dimension two with a smooth K hler metric and D a smooth divisor on . If E is a rank 2 holomorphic vector bundle on M with a stable parabolic structure along D, we prove...Let M be a compact complex manifold of complex dimension two with a smooth K hler metric and D a smooth divisor on . If E is a rank 2 holomorphic vector bundle on M with a stable parabolic structure along D, we prove that there exists a Hermitian-Einstein metric on E’=E|<sub> \D</sub> compatible with the parabolic structure, whose curvature is square integrable.展开更多
In this paper,we consider the stability,semi-stability and canonical metric structures on transverse Higgs bundles over a class of foliation manifolds.Also a transversal Bogomolov inequality is obtained.
基金supported in part by NSFC(11625106,11571332,11721101)the second author was supported by the Fundamental Research Funds for the Central Universities(19lgpy239)。
文摘In this paper,we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitian manifolds.Then we prove the existence of the Hermitian-Einstein metrics on Higgs bundles over a class of complete Hermitian manifolds.
基金supported in part by National Natural Science Foundation of China (Grant No. 10901147)supported in part by National Natural Science Foundation of China (Grant Nos. 10831008 and 11071212)the Ministry of Education Doctoral Fund 20060335133
文摘In this paper, we investigate the Dirichlet problem for Hermitian-Einstein equation on complex vector bundle over almost Hermitian manifold, and we obtain the unique solution of the Dirichlet problem for Hermitian-Einstein equation.
文摘Let M be a compact complex manifold of complex dimension two with a smooth K hler metric and D a smooth divisor on . If E is a rank 2 holomorphic vector bundle on M with a stable parabolic structure along D, we prove that there exists a Hermitian-Einstein metric on E’=E|<sub> \D</sub> compatible with the parabolic structure, whose curvature is square integrable.
基金supported by National Natural Science Foundation of China(Grant Nos.11625106,11571332 and 11721101)。
文摘In this paper,we consider the stability,semi-stability and canonical metric structures on transverse Higgs bundles over a class of foliation manifolds.Also a transversal Bogomolov inequality is obtained.
