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Consequences of contractible geodesics on surfaces
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UNSPECIFIED (1998) Consequences of contractible geodesics on surfaces. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 350 (11). pp. 4553-4568. ISSN 0002-9947
Full text not available from this repository.Abstract
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 hows on a sphere with three simple closed geodesics bounding disjoint discs.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Publisher: | AMER MATHEMATICAL SOC |
| ISSN: | 0002-9947 |
| Date: | November 1998 |
| Volume: | 350 |
| Number: | 11 |
| Number of Pages: | 16 |
| Page Range: | pp. 4553-4568 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/15268 |
Data sourced from Thomson Reuters' Web of Knowledge
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