Kahler-Ricci flow on stable Fano manifolds

Details Kahler-Ricci flow on stable Fano manifolds Kahler-Ricci flow on stable Fano manifolds

2008-10-10

arxiv.org/abs/0810.1895v1

J. Reine Angew. Math. 640 (2010), 67-84.

Mathematics

Differential Geometry

19 pages

Scientific paper

10.1515/CRELLE.2010.019

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.

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