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
Contributeur : Marco Mazzucchelli
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Soumis le : jeudi 23 février 2017 - 15:52:53
Dernière modification le : jeudi 11 janvier 2018 - 06:12:31
Document(s) archivé(s) le : mercredi 24 mai 2017 - 14:10:39
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〉
