4 citations · 4 across the 1 of their papers we have counts for
4 papers
Waist theorems for Tonelli systems in higher dimensions
Luca Asselle, Marco Mazzucchelli
We study the periodic orbits problem on energy levels of Tonelli Lagrangian systems over configuration spaces of arbitrary dimension. We show that, when the fundamental group is fi…
On the spectral characterization of Besse and Zoll Reeb flows
Viktor L. Ginzburg, Basak Z. Gurel, Marco Mazzucchelli
A closed contact manifold is called Besse when all its Reeb orbits are closed, and Zoll when they have the same minimal period. In this paper, we provide a characterization of Bess…
The action spectrum characterizes closed contact 3-manifolds all of whose Reeb orbits are closed
Daniel Cristofaro-Gardiner, Marco Mazzucchelli
A classical theorem due to Wadsley implies that, on a connected contact manifold all of whose Reeb orbits are closed, there is a common period for the Reeb orbits. In this paper we…
Closed geodesics with local homology in maximal degree on non-compact manifolds
Luca Asselle, Marco Mazzucchelli
We show that, on a complete and possibly non-compact Riemannian manifold of dimension at least 2 without close conjugate points at infinity, the existence of a closed geodesic with…