On almost Einstein holomorphic vector bundles over Hermitian surfaces
On almost Einstein holomorphic vector bundles over Hermitian surfaces
We study holomorphic vector bundles $\left ( {E,h} \right )$ of rank 2 over a compact Hermitian surface $\left ( {M,g} \right )$. Then the notion of a metric with a $k$-pinched Ricci curvature is introduced and it represents the generalization of the Einstein condition. Some necessary topological conditions for …