Consequences of contractible geodesics on surfaces
UNSPECIFIED (1998) Consequences of contractible geodesics on surfaces. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 350 (11). pp. 4553-4568. ISSN 0002-9947Full text not available from this repository.
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|
|Number of Pages:||16|
|Page Range:||pp. 4553-4568|
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