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arXiv · 0809.2722

The Ricci flow does not preserve the set of Zoll metrics

Dan Jane
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Abstract

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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Dan Jane. 2008-09-16. The Ricci flow does not preserve the set of Zoll metrics. https://arxiv.org/abs/0809.2722

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