The 2-dimensional Calabi flow

被引：7
|
作者：
Chang, SC [1 ]
机构：
[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan
来源：
NAGOYA MATHEMATICAL JOURNAL | 2006年 / 181卷
关键词：
D O I：
10.1017/S0027763000025678
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：63 / 73
页数：11
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