On the multiplicity of isometry-invariant geodesics on product manifolds

Marco Mazzucchelli
2014 Algebraic and Geometric Topology  
We prove that on any closed Riemannian manifold $(M_1\times M_2,g)$, with $\rank\Hom_1(M_1)\neq0$ and $\dim(M_2)\geq2$, every isometry homotopic to the identity admits infinitely many isometry-invariant geodesics.
doi:10.2140/agt.2014.14.135 fatcat:v57uiroenjaaxhxxq36yh6y6ou