Conjugate points of hyperbolic geodesics of square integrable geodesic flows on closed surfaces (Q5936689)

Let \(P^2\) be a closed two-dimensional surface with a Riemann metric \(g\). The metric geodesic flow \(g\) is called quadratic integrable, if it is quadratic integrable as a Hamiltonian system. The authors determine all hyperbolic geodesics of the quadratic integrable geodesic flows on a closed two-dimensional surface. The qualitative behaviour of the conjugate points for each geodesic are described.