The Ricci flow does not preserve the set of Zoll metrics

Details The Ricci flow does not preserve the set of Zoll metrics The Ricci flow does not preserve the set of Zoll metrics

2008-09-16

arxiv.org/abs/0809.2722v1

Mathematics

Differential Geometry

5 pages, very light

Scientific paper

The question of whether or not the set of Zoll metrics on the 2-sphere is
connected is still open. Here we show that a naive application of the Ricci
flow is not sufficient to answer this problem.

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