## The marked length spectrum of surfaces without conjugate points. (Le spectre marqué des longueurs des surfaces sans points conjugués.)(French)Zbl 0901.58065

Summary: We show how to adapt the methods of Jean-Pierre Otal to prove the marked length spectrum conjecture in the case where one metric has no conjugate points and the second metric has curvature $$\leq 0$$ with the set where the curvature is 0 having empty interior.

### MSC:

 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 53C20 Global Riemannian geometry, including pinching

### Keywords:

marked length spectrum conjecture; no conjugate points