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