English

Kahler-Ricci flow on stable Fano manifolds

Differential Geometry 2010-04-27 v1

Abstract

We study the Kahler-Ricci flow on Fano manifolds. We show that if the curvature is bounded along the flow and if the manifold is K-polystable and asymptotically Chow semistable, then the flow converges exponentially fast to a Kahler-Einstein metric.

Keywords

Cite

@article{arxiv.0810.1895,
  title  = {Kahler-Ricci flow on stable Fano manifolds},
  author = {Valentino Tosatti},
  journal= {arXiv preprint arXiv:0810.1895},
  year   = {2010}
}

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19 pages