On the Ricci flow on the rotationally symmetric two-ball

Jean Cortissoz

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On the Ricci flow on the rotationally symmetric two-ball

Jean Cortissoz

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Abstract

In this paper we study a boundary value problem for the Ricci flow in the two dimensional ball endowed with a rotationally symmetric metric. We show short and long time existence results. We construct families of metrics for which the flow uniformizes the curvature along a sequence of times. Finally we show that if the initial metric has positive Gaussian curvature and the boundary positive geodesic curvature then the flow uniformizes de curvature along a sequence of times.

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Jean Cortissoz. 2007-04-17. On the Ricci flow on the rotationally symmetric two-ball. https://arxiv.org/abs/math/0509128

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