A moment map picture of relative balanced metrics on extremal Kähler manifolds
arXiv:1703.09458
Abstract
We give a moment map interpretation of some relatively balanced metrics. As an application, we extend a result of S. K. Donaldson on constant scalar curvature Kähler metrics to the case of extremal metrics. Namely, we show that a given extremal metric is the limit of some specific relatively balanced metrics. As a corollary, we recover uniqueness and splitting results for extremal metrics in the polarized case.
26 pages. Corrections in the proof of Proposition 5.2, and other minor modifications in the exposition