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Geometry of the Katok examples

Published online by Cambridge University Press:  19 September 2008

Wolfgang Ziller
Wolfgang Ziller
Affiliation:
University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
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Abstract

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We consider examples of Finsler metrics symmetric or not) on Sn, Pnℂ, Pnℍ, and P2Ca with only finitely many closed geodesies or with only few short closed geodesies. The number of closed geodesies in these examples and properties of the closed geodesies are considered.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 1 , March 1983, pp. 135 - 157
Copyright
Copyright © Cambridge University Press 1983

References

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