33 citations · 215 across the 34 of their papers we have counts for
Showing 2017 · math.DGShow all
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math.DG2017★ 12 cited
Boundary and lens rigidity for non-convex manifolds
Colin Guillarmou, Marco Mazzucchelli, Leo Tzou
We study the boundary and lens rigidity problems on domains without assuming the convexity of the boundary. We show that such rigidities hold when the domain is a simply connected…
math.DG2017★ 9 cited
A characterization of Zoll Riemannian metrics on the 2-sphere
Marco Mazzucchelli, Stefan Suhr
The simple length spectrum of a Riemannian manifold is the set of lengths of its simple closed geodesics. We prove a theorem claimed by Lusternik: in any Riemannian 2-sphere whose…
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…