The Calabi flow with small initial energy

Details The Calabi flow with small initial energy The Calabi flow with small initial energy

2006-08-07

arxiv.org/abs/math/0608154v1

Math. Res. Lett. 14 (2007), no.6, 1033--1039.

Mathematics

Differential Geometry

7 pages

Scientific paper

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.

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