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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 0002-9947 | ||||
Official Date: | November 1998 | ||||
Dates: |
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Volume: | 350 | ||||
Number: | 11 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 4553-4568 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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