Normalized Ricci flow on nonparabolic surfaces
arXiv:0704.0853
Abstract
This paper studies 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.
Some false statements corrected. Details of estimate and a discussion on Uniformization added. 14 pages