English

Properness of log $F$-functionals

Differential Geometry 2015-04-14 v1

Abstract

In this paper, we apply the method developed in [Ti97] and [TZ00] to proving the properness of log FF-functional on any conic K\"ahler-Einstein manifolds. As an application, we give an alternative proof for the openness of the continuity method through conic K\"ahler-Einstein metrics.

Keywords

Cite

@article{arxiv.1504.03197,
  title  = {Properness of log $F$-functionals},
  author = {Gang Tian and Xiaohua Zhu},
  journal= {arXiv preprint arXiv:1504.03197},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-06-22T09:15:07.614Z