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2006 The 2-dimensional Calabi flow
Shu-Cheng Chang
Nagoya Math. J. 181: 63-73 (2006).


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.


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Shu-Cheng Chang. "The 2-dimensional Calabi flow." Nagoya Math. J. 181 63 - 73, 2006.


Published: 2006
First available in Project Euclid: 14 March 2006

zbMATH: 1098.53031
MathSciNet: MR2210710

Primary: 53C21
Secondary: 58G03

Keywords: Bochner formula , Bondi-mass , Calabi flow , Harnack estimate , uniformization theorem

Rights: Copyright © 2006 Editorial Board, Nagoya Mathematical Journal

Vol.181 • 2006
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