Contents Online
Mathematical Research Letters
Volume 14 (2007)
Number 6
The Calabi flow with small initial energy
Pages: 1033 – 1039
DOI: https://dx.doi.org/10.4310/MRL.2007.v14.n6.a11
Authors
Abstract
We show that on Kähler 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 Kähler class is close to the canonical class.
Published 1 January 2007