Another proof of Ricci flow on incomplete surfaces with bounded above Gauss curvature

Details Another proof of Ricci flow on incomplete surfaces with bounded above Gauss curvature Another proof of Ricci flow on incomplete surfaces with bounded above Gauss curvature

2010-11-10

arxiv.org/abs/1011.2388v1

Mathematics

Differential Geometry

13 pages

Scientific paper

We give a simple proof of an extension of the existence results of Ricci flow of G.Giesen and P.M.Topping [GiT1],[GiT2], on incomplete surfaces with bounded above Gauss curvature without using the difficult Shi's existence theorem of Ricci flow on complete non-compact surfaces and the pseudolocality theorem of G.Perelman [P1] on Ricci flow. We will also give a simple proof of a special case of the existence theorem of P.M.Topping [T] without using the existence theorem of W.X.Shi [S1].

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