Isometry-invariant geodesics and the fundamental group, II
arXiv:1504.05685 · doi:10.1016/j.aim.2016.12.023
Abstract
We show that on a closed Riemannian manifold with fundamental group isomorphic to $\mathbb{Z}$, 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.
23 pages. Version 2: added the proof of Lemma 2.2. To appear in Advances in Mathematics