Abstract
Given a closed Riemannian manifold, we show how to close an orbit of the geodesic flow by a small perturbation of the metric in the $C^1$ topology.
Citation
Ludovic Rifford. "Closing Geodesics in $C^1$ Topology." J. Differential Geom. 91 (3) 361 - 381, July 2012. https://doi.org/10.4310/jdg/1349292669
Information
Published: July 2012
First available in Project Euclid: 3 October 2012
zbMATH: 1258.53087
MathSciNet: MR2981842
Digital Object Identifier: 10.4310/jdg/1349292669
Rights: Copyright © 2012 Lehigh University
