An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II

Abstract

Recently, Donaldson proved asymptotic stability for a polarized algebraic manifold $M$ with polarization class admitting a Kähler metric of constant scalar curvature, essentially when the linear algebraic part $H$ of $Au{t}^0(M)$ is semisimple. The purpose of this paper is to give a generalization of Donaldson's result to the case where the polarization class admits an extremal Kähler metric, even when $H$ is not semisimple.

Submitted to J. Differential Geom. in 2003. Revised in May, 2004

References in corpus (3)

• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II
• Stability of extremal Kähler manifolds
• An obstruction to asymptotic semistability and approximate critical metrics

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