33 citations · 215 across the 34 of their papers we have counts for
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math.DG2016★ 9 cited
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…
math.DG2016★ 7 cited
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…