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The 2-Dimensional Calabi Flow

Published online by Cambridge University Press:  11 January 2016

Shu-Cheng Chang
Shu-Cheng Chang*
Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu Taiwan 30043, [email protected]
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Abstract

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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.

Keywords

53C2158G03
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 181 , March 2006 , pp. 63 - 73
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2006

References

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