On the multiplicity of isometry-invariant geodesics on product manifolds

Marco Mazzucchelli (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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.

Domains: Mathematics [math]

Marco Mazzucchelli. On the multiplicity of isometry-invariant geodesics on product manifolds. Algebraic and Geometric Topology, 2014, 14, pp.135 - 156. ⟨10.2140/agt.2014.14.135⟩. ⟨ensl-01404044⟩