Isometry-invariant geodesics and the fundamental group, II
Differential Geometry
2017-01-27 v2 Symplectic Geometry
Abstract
We show that on a closed Riemannian manifold with fundamental group isomorphic to , other than the circle, every isometry that is homotopic to the identity possesses infinitely many invariant geodesics. This completes a recent result of the second author.
Keywords
Cite
@article{arxiv.1504.05685,
title = {Isometry-invariant geodesics and the fundamental group, II},
author = {Leonardo Macarini and Marco Mazzucchelli},
journal= {arXiv preprint arXiv:1504.05685},
year = {2017}
}
Comments
23 pages. Version 2: added the proof of Lemma 2.2. To appear in Advances in Mathematics