Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces

Details Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces

2010-03-11

arxiv.org/abs/1003.2315v1

Mathematics

Differential Geometry

15 pages

Scientific paper

We give a simple proof for the rotational symmetry of ancient solutions of Ricci flow on surfaces. As a consequence we obtain a simple proof of some results of P.Daskalopoulos, R.Hamilton and N.Sesum on the a priori estimates for the ancient solutions of Ricci flow on surfaces. We also give a simple proof for the solution to be a Rosenau solution under some mild conditions on the solutions of Ricci flow on surfaces.

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