21 citations · 88 across the 25 of their papers we have counts for
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math.DS2017
On geodesic flows with symmetries and closed magnetic geodesics on orbifolds
Luca Asselle, Felix Schmäschke
Let be a closed manifold admitting a locally-free action of a compact Lie group . In this paper we study the properties of geodesic flows on given by Riemannian metrics…
math.DG2017★ 4 cited
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…
math.DS2017★ 2 cited
Minimal boundaries in Tonelli Lagrangian systems
Luca Asselle, Gabriele Benedetti, Marco Mazzucchelli
We prove several new results concerning action minimizing periodic orbits of Tonelli Lagrangian systems on an oriented closed surface . More specifically, we show that for every…