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

Toshiki Mabuchi
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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 $Aut^0(M)$ 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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Toshiki Mabuchi. 2004-10-09. An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, II. https://doi.org/10.1007/s00222-004-0387-y

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