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

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

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Recently, Donaldson proved asymptotic stability for a polarized algebraic manifold $M$ with polarization class admitting a K��hler 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 K��hler metric, even when $H$ is not semisimple.

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

Journal

  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 46 (1), 115-139, 2009-03

    Osaka University and Osaka City University, Departments of Mathematics

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