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Normalized Ricci flow on nonparabolic surfaces
Authors:Hao Yin
Affiliation:(1) Mathematics Department, Shanghai Jiaotong University, Shanghai, 200240, China
Abstract: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.
Keywords:Ricci flow  Nonparabolic surfaces  Uniformization theorem
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