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arXiv · 1504.05685

Isometry-invariant geodesics and the fundamental group, II

Leonardo Macarini·Marco Mazzucchelli
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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.

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Leonardo Macarini, Marco Mazzucchelli. 2017-01-06. Isometry-invariant geodesics and the fundamental group, II. https://doi.org/10.1016/j.aim.2016.12.023

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