Expansive Flows of the Three-Sphere
Dynamical Systems
2018-01-26 v2
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.
Keywords
Cite
@article{arxiv.1207.3116,
title = {Expansive Flows of the Three-Sphere},
author = {Alfonso Artigue},
journal= {arXiv preprint arXiv:1207.3116},
year = {2018}
}