Existence of approximate Hermitian-Einstein structures on semi-stable bundles
Existence of approximate Hermitian-Einstein structures on semi-stable bundles
The purpose of this paper is to investigate canonical metrics on a semi-stable vector bundle $E$ over a compact Kahler manifold $X$. It is shown that if $E$ is semi-stable, then Donaldson’s functional is bounded from below. This implies that $E$ admits an approximate Hermitian-Einstein structure, generalizing a classic result …