The Calabi flow with small initial energy
Differential Geometry
2014-01-21 v1
Abstract
We show that on Kahler manifolds M with c_1(M)=0 the Calabi flow converges to a constant scalar curvature metric if the initial Calabi energy is sufficiently small. We prove a similar result on manifolds with c_1(M)<0 if the Kahler class is close to the canonical class.
Cite
@article{arxiv.math/0608154,
title = {The Calabi flow with small initial energy},
author = {Valentino Tosatti and Ben Weinkove},
journal= {arXiv preprint arXiv:math/0608154},
year = {2014}
}
Comments
7 pages