An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II
Toshiki Mabuchi
Source: Osaka J. Math. Volume 46, Number 1
(2009), 115-139.
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 $\operatorname{Aut}^{0}(M)$ 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.
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Zentralblatt MATH identifier: 05543713
Mathematical Reviews number (MathSciNet): MR2531143
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