The Mabuchi metric and the Kähler-Ricci flow

2011/04/29 by McFeron, Donovan
#53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1104.5542

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 L² norm of the Ricci potential for positive time.

Related

• On the Kahler-Ricci flow on Fano manifolds
• Kähler Ricci flow on Fano manifolds with vanished Futaki invariants
• On the Kähler-Ricci flow near a Kähler-Einstein metric
• On convergence of the Kähler-Ricci flow
• Convergence of Kähler-Ricci flow on Fano manifolds, II