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Expansive Flows of the Three-Sphere. (arXiv:1207.3116v2 [math.DS] UPDATED)

来源于:arXiv
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. 查看全文>>