Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605881 | Differential Geometry and its Applications | 2015 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alfonso Artigue,