English

On the uniqueness of conical K\"ahler-Einstein metrics

Differential Geometry 2014-02-18 v1

Abstract

The purpose of this paper is to prove the uniqueness of conical K\"ahler-Einstein metrics, under the condition that the twisted DingDing-functional is proper. This is a generalization of the author's previous work, and we shall first investigate the uniqueness of twisted K\"ahler-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.

Keywords

Cite

@article{arxiv.1402.4049,
  title  = {On the uniqueness of conical K\"ahler-Einstein metrics},
  author = {Long Li},
  journal= {arXiv preprint arXiv:1402.4049},
  year   = {2014}
}