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arXiv · 1402.4049

On the uniqueness of conical Kähler-Einstein metrics

Long Li
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Abstract

The purpose of this paper is to prove the uniqueness of conical Kähler-Einstein metrics, under the condition that the twisted $Ding$-functional is proper. This is a generalization of the author's previous work, and we shall first investigate the uniqueness of twisted Kähler-Einstein metrics, and then use these smooth perturbed solutions to approximate the actual conical one. Finally, it will bring the uniqueness of the limiting singular metric.

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Long Li. 2014-02-17. On the uniqueness of conical Kähler-Einstein metrics. https://arxiv.org/abs/1402.4049

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