Convergence of the Kähler-Ricci flow on Fano manifolds

Gang Tian; Xiaohua Zhu

doi:10.1515/crelle.2012.021

Convergence of the Kähler-Ricci flow on Fano manifolds

Gang Tian, Xiaohua Zhu

Mathematics

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

28 Scopus citations

Abstract

In this article, we give an alternative proof for the convergence of the Kähler-Ricci flow on a Fano manifold (M; J). The proof differs from the one in our previous paper [J. Amer. Math. Sci. 17 (2006), 675-699]. Moreover, we generalize the main theorem given there to the case that (M; J) may not admit any Kähler-Einstein metrics.

Original language	English (US)
Pages (from-to)	223-245
Number of pages	23
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	678
DOIs	https://doi.org/10.1515/crelle.2012.021
State	Published - May 2013

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/crelle.2012.021

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

abstract = "In this article, we give an alternative proof for the convergence of the K{\"a}hler-Ricci flow on a Fano manifold (M; J). The proof differs from the one in our previous paper [J. Amer. Math. Sci. 17 (2006), 675-699]. Moreover, we generalize the main theorem given there to the case that (M; J) may not admit any K{\"a}hler-Einstein metrics.",

author = "Gang Tian and Xiaohua Zhu",

note = "Funding Information: The second author was partially supported by the NSFC Grant 10990013.",

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AB - In this article, we give an alternative proof for the convergence of the Kähler-Ricci flow on a Fano manifold (M; J). The proof differs from the one in our previous paper [J. Amer. Math. Sci. 17 (2006), 675-699]. Moreover, we generalize the main theorem given there to the case that (M; J) may not admit any Kähler-Einstein metrics.

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Convergence of the Kähler-Ricci flow on Fano manifolds

Abstract

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