Normalized Ricci flow on nonparabolic surfaces

2007/04/06 by Hao Yin, Yin, Hao
Mathematics · #53C44 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C44

paper · pdf · doi:10.48550/arxiv.0704.0853

Some false statements corrected. Details of estimate and a discussion on Uniformization added. 14 pages

arxiv created 2007/06/05 · arxiv updated 2009/12/01

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.

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