Normalized Ricci flow on nonparabolic surfaces

Details Normalized Ricci flow on nonparabolic surfaces Normalized Ricci flow on nonparabolic surfaces

2007-04-06

arxiv.org/abs/0704.0853v2

Mathematics

Differential Geometry

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

Scientific paper

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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