On the multiplicity of isometry-invariant geodesics on product manifolds

Abstract : We prove that on any closed Riemannian manifold (M 1 × M 2 , g), with rank H 1 (M 1) = 0 and dim(M 2) ≥ 2, every isometry homotopic to the identity admits infinitely many isometry-invariant geodesics.
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Marco Mazzucchelli. On the multiplicity of isometry-invariant geodesics on product manifolds. Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2014, 14, pp.135 - 156. ⟨10.2140/agt.2014.14.135⟩. ⟨ensl-01404044⟩

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