Hermitian-Einstein metrics on holomorphic vector bundles over Hermitian manifolds

作者：Xi Z^*

来源：Journal of Geometry and Physics, 2005, 53(3): 315-335.

DOI：10.1016/j.geomphys.2004.07.002

• Hermitian-Einstein metric
• holomorphic vector bundle
• hermitian manifolds

In this paper, we prove the long-time existence of the Hermitian-Einstein flow on a holomorphic vector bundle over a compact Hermitian (non-Kahler) manifold. and solve the Dirichlet problem for the Hermitian-Einstein equations. We also prove the existence of Hermitian-Einstein metrics for holomorphic vector bundles on a class of complete non-compact Hermitian manifolds.

• 出版日期2005-3
• 单位浙江大学