Global existence and convergence of solutions of Calabi flow on surfaces of genus h≥2

被引：14

作者：

Chang, SC ^{[1
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2000年 / 40卷 / 02期

关键词：

D O I：

10.1215/kjm/1250517718

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, based on a kind of Harnack estimate for the Calabi flow on surfaces, we show the longtime existence and convergence of solutions of 2-dimensional Calabi how on surfaces (Sigma, g(0)) of genus h greater than or equal to 2 with any arbitrary background metric g(0).

引用

页码：363 / 377

页数：15

共 10 条

[1]

Aubin T., 1982, GRUNDLEHREN MATH WIS, V252

[2]

Calabi E, 1982, EXTREMAL KAHLER METR, P259

[3]

Chang S.-Y.A., 1990, J AM MATH SOC, V3, P117

[4] On the existence of extremal metrics for L2-norm of scalar curvature on closed 3-manifolds [J].