Kähler-Ricci flow on stable Fano manifolds

Valentino Tosatti

doi:10.1515/CRELLE.2010.019

Kähler-Ricci flow on stable Fano manifolds

Valentino Tosatti^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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.

Original language	English (US)
Pages (from-to)	67-84
Number of pages	18
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	640
DOIs	https://doi.org/10.1515/CRELLE.2010.019
State	Published - Mar 2010

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1515/CRELLE.2010.019

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title = "K{\"a}hler-Ricci flow on stable Fano manifolds",

abstract = "We study the K{\"a}hler-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 K{\"a}hler-Einstein metric.",

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AB - 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.

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Kähler-Ricci flow on stable Fano manifolds

Abstract

ASJC Scopus subject areas

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