English

Ricci flow on Kaehler manifolds

Differential Geometry 2009-10-31 v1

Abstract

In this paper, we announce the following results: Let M be a Kaehler-Einstein manifold with positive scalar curvature. If the initial metric has nonnegative bisectional curvature and positive at least at one point, then the K\"ahler-Ricci flow converges exponentially fast to a Kaehler-Einstein metric with constant bisectional curvature.

Keywords

Cite

@article{arxiv.math/0010007,
  title  = {Ricci flow on Kaehler manifolds},
  author = {Xiuxiong Chen and Gang Tian},
  journal= {arXiv preprint arXiv:math/0010007},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-07-22T16:34:57.683Z