The 2-dimensional Calabi flow

被引：8

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.

引用

页码：63 / 73

页数：11