Convergence of Kähler-Ricci flow on Fano manifolds, II

Abstract

In this paper, we give an alternative proof for the convergence of Kähler-Ricci flow on a Fano mnaifold $(M,J)$. This proof differs from that in [TZ3]. Moreover, we generalize the main theorem of [TZ3] to the case that $(M,J)$ may not admit any Kähler-Einstein metrics.

arXiv comment22 pages

References in corpus (5)

• Ricci flow on Kähler-Einstein manifolds
• Space of Kähler metrics (IV)--On the lower bound of the K-energy
• Perelman's W-functional and stability of Kähler-Ricci flow
• Calabi flow, Geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
• Solidity of viscous liquids. V. Long-wavelength dominance of the dynamics

Cited by in corpus (4)

• Space of Ricci flows (II)
• Ricci flow and birational surgery
• Supremum of Perelman's entropy and Kähler-Ricci flow on a Fano manifold
• The Mabuchi metric and the Kähler-Ricci flow