Annals of Global Analysis and Geometry

, Volume 36, Issue 1, pp 81–104 | Cite as

Normalized Ricci flow on nonparabolic surfaces

Original Paper
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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 

Mathematics Subject Classification (2000)

53C21 
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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Mathematics DepartmentShanghai Jiaotong UniversityShanghaiChina

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