The Mabuchi metric and the Kähler-Ricci flow

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.

arXiv comment8 pages, Corrected Typos, Added References

References in corpus (2)

• The logarithmic Sobolev inequality along the Ricci flow
• Convergence of Kähler-Ricci flow on Fano manifolds, II

Cited by in corpus (1)

• Stability and Convergence of the Sasaki-Ricci Flow