The Mabuchi metric and the Kähler-Ricci flow

McFeron, Donovan

doi:10.1090/S0002-9939-2013-11856-3

The Mabuchi metric and the Kähler-Ricci flow
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Proc. Amer. Math. Soc. 142 (2014), 1005-1012 Request permission

Abstract:

In this paper we show that on a Fano manifold the convergence of the Kähler-Ricci flow to a Kähler-Einstein metric follows from the integrability of the $L^2$ norm of the Ricci potential for positive time.

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