Title: Hermitian–Einstein metrics on holomorphic vector bundles over Hermitian manifolds
Abstract: In this paper, we prove the long-time existence of the Hermitian–Einstein flow on a holomorphic vector bundle over a compact Hermitian (non-Kähler) 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.
Publication Year: 2004
Publication Date: 2004-09-14
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 23
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