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arXiv · 1703.09458

A moment map picture of relative balanced metrics on extremal K\"ahler manifolds

Yuji Sano·Carl Tipler
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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 K\"ahler 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.

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Yuji Sano, Carl Tipler. 2017-03-28. A moment map picture of relative balanced metrics on extremal K\"ahler manifolds. https://arxiv.org/abs/1703.09458

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