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arxiv: 0810.1895 · v1 · submitted 2008-10-10 · 🧮 math.DG

Kahler-Ricci flow on stable Fano manifolds

classification 🧮 math.DG
keywords flowfanokahler-riccimanifoldsalongasymptoticallyboundedchow
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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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