Highly Influenced

@inproceedings{MacKay1998ConsequencesOC, title={Consequences of Contractible Geodesics on Surfaces}, author={R. S. MacKay}, year={1998} }

- Published 1998

The geodesic flow of any Riemannian metric on a geodesically convex surface of negative Euler characteristic is shown to be semi-equivalent to that of any hyperbolic metric on a homeomorphic surface for which the boundary (if any) is geodesic. This has interesting corollaries. For example, it implies chaotic dynamics for geodesic flows on a torus with a simple contractible closed geodesic, and for geodesic flows on a sphere with three simple closed geodesics bounding disjoint discs.

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