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arXiv · 1604.02132

The Ricci flow on a cylinder

Jean Cortissoz·Alexander Murcia
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Abstract

In this paper we study the Ricci flow on surfaces homeomorphic to a cylinder (that is, a product of the circle with a compact interval). We prove longtime existence results, results on the asymptotic behavior of the flow, and we report on an interesting phenomenon: convergence to constant curvature in the normalised flow,under certain assumptions on the initial data, cannot be exponential.

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Jean Cortissoz, Alexander Murcia. 2016-04-07. The Ricci flow on a cylinder. https://arxiv.org/abs/1604.02132

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