We prove that the Ricci flow that contracts a hyperbolic cusp has curvature decay like one over time squared. In order to do this, we prove a new Li-Yau type differential Harnack inequality for Ricci flow on surfaces.

中文翻译：

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收缩尖峰 Ricci 流的曲率衰减率

我们证明收缩双曲线尖点的 Ricci 流具有曲率衰减，就像时间平方一样。为了做到这一点，我们证明了表面上 Ricci 流的一个新的 Li-Yau 型微分 Harnack 不等式。