33 citations · 215 across the 34 of their papers we have counts for
4 papers · 1 filter
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…
Asymptotically Euclidean metrics without conjugate points are flat
Colin Guillarmou, Marco Mazzucchelli, Leo Tzou
We prove that any asymptotically Euclidean metric on with no conjugate points must be isometric to the Euclidean metric.
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…