Kähler Ricci flow with vanished Futaki invariant

Details Kähler Ricci flow with vanished Futaki invariant Kähler Ricci flow with vanished Futaki invariant

2010-11-22

arxiv.org/abs/1011.4799v2

Mathematics

Differential Geometry

23 pages; Remark 4.1 changed due to the comments of Valentino Tosatti

Scientific paper

We study the convergence of the K\"ahler-Ricci flow on a compact K\"ahler manifold $(M,J)$ with positive first Chern class $c_1(M;J)$ and vanished Futaki invariant on $\pi c_1(M;J)$. As the application we establish a criterion for the stability of the K\"ahler-Ricci flow (with perturbed complex structure) around a K\"ahler-Einstein metric with positive scalar curvature, under certain local stable condition on the dimension of holomorphic vector fields. In particular this gives a stability theorem for the existence of K\"ahler-Einstein metrics on a K\"ahler manifold with possibly nontrivial holomorphic vector fields.

Affiliated with

Also associated with

No associations

Rating

Kähler Ricci flow with vanished Futaki invariant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kähler Ricci flow with vanished Futaki invariant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kähler Ricci flow with vanished Futaki invariant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-657494