In L. W. Flinn’s PhD thesis published in 1972, the author conjectured that weakly expansive flows are also expansive flows. In this paper we use the horocycle flow on compact Riemann surfaces of constant negative curvature to show that Flinn’s conjecture is not true.

中文翻译：

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弗林关于弱膨胀流猜想的解决方案

在 LW Flinn 1972 年发表的博士论文中，作者推测弱膨胀流也是膨胀流。在本文中，我们使用恒负曲率的紧黎曼曲面上的 horocycle 流来证明弗林猜想是不正确的。