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Licensed Unlicensed Requires Authentication Published by De Gruyter January 20, 2010

Kähler-Ricci flow on stable Fano manifolds

  • Valentino Tosatti

Abstract

We study the Kähler-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 Kähler-Einstein metric.

Received: 2008-10-28
Published Online: 2010-01-20
Published in Print: 2010-March

© Walter de Gruyter Berlin · New York 2010

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