Kähler Ricci flow on Fano manifolds with vanished Futaki invariants

Abstract

In this paper, we establish several sufficient and necessary conditions for the convergence of a Kähler-Ricci flow, on a Kähler manifold with positive first Chern class, to a Kähler-Einstein metric (or a shrinking Kähler-Ricci soliton).

15 pages; one reference added