Abstract : We show that on a closed Riemannian manifold with fundamental group isomorphic to Z, other than the circle, every isometry that is homotopic to the identity possesses infinitely many invariant geodesics. This completes a recent result in [Maz15] of the second author.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01475317
Contributor : Marco Mazzucchelli
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Submitted on : Thursday, February 23, 2017 - 3:52:53 PM
Last modification on : Tuesday, November 19, 2019 - 12:00:43 PM
Long-term archiving on: Wednesday, May 24, 2017 - 2:10:39 PM
Leonardo Macarini, Marco Mazzucchelli. Isometry-invariant geodesics and the fundamental group, II. Advances in Mathematics, Elsevier, 2017, 308, pp.671 - 698. ⟨10.1016/j.aim.2016.12.023⟩. ⟨ensl-01475317⟩
