Geometry of the Katok examples-Reference-Cited by-同舟云学术

Geometry of the Katok examples

Published:1983-03 Issue:1 Volume:3 Page:135-157
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Ziller Wolfgang

Abstract

AbstractWe consider examples of Finsler metrics symmetric or not) onSn,Pnℂ,Pnℍ, andP2Cawith 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference28 articles.

1. Periodic Orbits for Convex Hamiltonian Systems

2. On the volume of manifolds all of whose geodesics are closed

3. Integrable geodesic flows on homogeneous spaces

4. Generic Properties of Conservative Systems

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