An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I
An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I
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DOI：
10.1007/s00222-004-0387-y
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发表时间：
2004-10
影响因子：
3.1
通讯作者：
T. Mabuchi
中科院分区：
文献类型：
--
作者：
T. Mabuchi
最近，Donaldson证明了极化类中含有常数量曲率的K“Ahler度量的极化代数流形的渐近稳定性，其实质是当线性代数部分为半单时.本文的目的是将Donaldson的结果推广到极化类中包含极值K Ahler度量的情形，即使不是半单的.
Recently, Donaldson proved asymptotic stability for a polarized algebraic manifoldwith polarization class admitting a K\"ahler metric of constant scalar curvature, essentially when the linear algebraic partofis 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\"ahler metric, even whenis not semisimple.