Normalized Ricci flow on nonparabolic surfaces

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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

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