Convergence of the Kähler-Ricci iteration

Published 17 May 2017 in math.DG, math.AP, and math.CV | (1705.06253v1)

Abstract: The Ricci iteration is a discrete analogue of the Ricci flow. According to Perelman, the Ricci flow converges to a Kahler-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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