Hermitian–Einstein metrics on holomorphic vector bundles over Hermitian manifolds
Copyright policy )Hermitian–Einstein metrics on holomorphic vector bundles over Hermitian manifolds
The paper under review is divided in two parts. At first the Hermitian-Einstein (HE) flow over compact Hermitian manifolds is studied and the long-time existence of the HE flow is obtained. The second part is devoted to the HE equation on holomorphic vector bundles over complete (i.e., complete, non-compact and without boundary) Hermitian (non-Kähler) manifolds. A direct elliptic method and Bochner type inequalities are the main tools of this part.
- Zhejiang Ocean University China (People's Republic of)
- The Abdus Salam International Centre for Theoretical Physics (ICTP) Italy
Special Riemannian manifolds (Einstein, Sasakian, etc.), Kähler-Einstein manifolds, Variational problems concerning extremal problems in several variables; Yang-Mills functionals, holomorphic vector bundle, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Hermitian-Einstein metric
Special Riemannian manifolds (Einstein, Sasakian, etc.), Kähler-Einstein manifolds, Variational problems concerning extremal problems in several variables; Yang-Mills functionals, holomorphic vector bundle, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Hermitian-Einstein metric
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