The Mabuchi metric and the Kähler-Ricci flow

Mathematics – Differential Geometry

Scientific paper

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8 pages, Corrected Typos, Added References

Scientific paper

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 $L^2$ norm of the Ricci potential for positive time.

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