Normalized Ricci flow on nonparabolic surfaces

作者：Yin, Hao^*

来源：Annals of Global Analysis and Geometry, 2009, 36(1): 81-104.

DOI：10.1007/s10455-008-9150-8

• Ricci flow
• Nonparabolic surfaces
• Uniformization theorem

This paper studies the normalized Ricci flow on a nonparabolic surface, whose scalar curvature is asymptotically -1 in an integral sense. By a method initiated by R. Hamilton, the flow is shown to converge to a metric of constant scalar curvature -1. A relative estimate of Green's function is proved as a tool.

• 出版日期2009-8
• 单位上海交通大学