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The Mabuchi metric and the Kähler-Ricci flow

Published 29 Apr 2011 in math.DG | (1104.5542v2)

Abstract: In this paper we show that on a Fano manifold the convergence of the K\"ahler-Ricci flow to a K\"ahler-Einstein metric follows from the integrability of the $L2$ norm of the Ricci potential for positive time.

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