Orthogonal geodesic chords, brake orbits and homoclinic orbits in Riemannian manifolds
Orthogonal geodesic chords, brake orbits and homoclinic orbits in Riemannian manifolds
The study of solutions with fixed energy of certain classes of Lagrangian (or Hamiltonian) systems is reduced, via the classical Maupertuis--Jacobi variational principle, to the study of geodesics in Riemannian manifolds. We are interested in investigating the problem of existence of brake orbits and homoclinics, in which case the Maupertuis--Jacobi …