33 citations · 215 across the 34 of their papers we have counts for
4 papers · 1 filter
The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
Alberto Abbondandolo, Luca Asselle, Gabriele Benedetti +2
We consider magnetic Tonelli Hamiltonian systems on the cotangent bundle of the 2-sphere, where the magnetic form is not necessarily exact. It is known that, on very low and on hig…
On the existence of infinitely many closed geodesics on non-compact manifolds
Luca Asselle, Marco Mazzucchelli
We prove that any complete (and possibly non-compact) Riemannian manifold possesses infinitely many closed geodesics provided its free loop space has unbounded Betti numbers in…
Marked boundary rigidity for surfaces
Colin Guillarmou, Marco Mazzucchelli
We show that, on an oriented compact surface, two sufficiently -close Riemannian metrics with strictly convex boundary, no conjugate points, hyperbolic trapped set for their g…
On Tonelli periodic orbits with low energy on surfaces
Luca Asselle, Marco Mazzucchelli
We prove that, on a closed surface, a Lagrangian system defined by a Tonelli Lagrangian possesses a periodic orbit that is a local minimizer of the free-period action functiona…