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arXiv · 1207.3116

Expansive Flows of the Three-Sphere

Alfonso Artigue
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Abstract

In this article we show that the three-dimensional sphere admits {transitive} expansive flows in the sense of Komuro with hyperbolic equilibrium points. The result is based on a construction that allows us to see the geodesic flow of a hyperbolic three-punctured two-dimensional sphere as the flow of a smooth vector field on the three-dimensional sphere.

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Alfonso Artigue. 2018-01-25. Expansive Flows of the Three-Sphere. https://arxiv.org/abs/1207.3116

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