The second closed geodesic, the fundamental group, and generic Finsler metrics

Abstract For compact manifolds with infinite fundamental group we present sufficient topological or metric conditions ensuring the existence of two geometrically distinct closed geodesics. We also extend results about generic Riemannian metrics to Finsler metrics. show a bumpy theorem for and prove that $$C^4$$ C4 -generic on simply-connected manifold carries infinitely many