A Morse Index Theorem and bifurcation for perturbed geodesics on Semi-Riemannian Manifolds

Monica Musso, Jacobo Pejsachowicz, Alessandro Portaluri

Perturbed geodesics are trajectories of particles moving on a semi-Riemannian manifold in the presence of a potential. Our purpose here is to extend to perturbed geodesics on semi-…