English

Stability of K\"ahler-Ricci flow

Differential Geometry 2009-07-30 v3 Analysis of PDEs

Abstract

We prove the convergence of K\"ahler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of K\"ahler-Ricci flow when the complex structure varies on a K\"ahler-Einstein manifold.

Keywords

Cite

@article{arxiv.0801.3086,
  title  = {Stability of K\"ahler-Ricci flow},
  author = {Xiuxiong Chen and Haozhao Li},
  journal= {arXiv preprint arXiv:0801.3086},
  year   = {2009}
}

Comments

29 pages, final version, to appear in Journal of Geometric Analysis

R2 v1 2026-06-21T10:04:40.266Z