An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II
Toshiki Mabuchi
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 Aut0(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.
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