21 citations · 88 across the 25 of their papers we have counts for
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math.DS2019★ 3 cited
On the rigidity of Zoll magnetic systems on surfaces
Luca Asselle, Christian Lange
In this paper we study rigidity aspects of Zoll magnetic systems on closed surfaces. We characterize magnetic systems on surfaces of positive genus given by constant curvature metr…
math.DS2019
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…
math.DS2019
Integrable magnetic flows on the two-torus: Zoll examples and systolic inequalities
Luca Asselle, Gabriele Benedetti
In this paper we study some aspects of integrable magnetic systems on the two-torus. On the one hand, we construct the first non-trivial examples with the property that all magneti…