Geometry of the Katok examples

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Abstract

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. © 1983, Cambridge University Press. All rights reserved.

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Ziller, W. (1983). Geometry of the Katok examples. Ergodic Theory and Dynamical Systems, 3(1), 135–157. https://doi.org/10.1017/S0143385700001851

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