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2019 Convergence of the Kähler–Ricci iteration
Tamás Darvas, Yanir A. Rubinstein
Anal. PDE 12(3): 721-735 (2019). DOI: 10.2140/apde.2019.12.721

Abstract

The Ricci iteration is a discrete analogue of the Ricci flow. According to Perelman, the Ricci flow converges to a Kähler–Einstein metric whenever one exists, and it has been conjectured that the Ricci iteration should behave similarly. This article confirms this conjecture. As a special case, this gives a new method of uniformization of the Riemann sphere.

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Tamás Darvas. Yanir A. Rubinstein. "Convergence of the Kähler–Ricci iteration." Anal. PDE 12 (3) 721 - 735, 2019. https://doi.org/10.2140/apde.2019.12.721

Information

Received: 15 June 2017; Revised: 27 April 2018; Accepted: 29 June 2018; Published: 2019
First available in Project Euclid: 25 October 2018

zbMATH: 06986451
MathSciNet: MR3864208
Digital Object Identifier: 10.2140/apde.2019.12.721

Subjects:
Primary: 32Q20
Secondary: 14J45, 32W20

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 3 • 2019
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