Abstract
In this paper, based on a Harnack-type estimate and a local Sobolev constant bounded for the Calabi flow on closed surfaces, we extend author's previous results and show the long-time existence and convergence of solutions of 2-dimensional Calabi flow on closed surfaces. Then we establish the uniformization theorem for closed surfaces.
Citation
Shu-Cheng Chang. "The 2-dimensional Calabi flow." Nagoya Math. J. 181 63 - 73, 2006.
Information
