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Isometry-invariant geodesics and the fundamental group, II

Published 22 Apr 2015 in math.DG and math.SG | (1504.05685v2)

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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