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math.DG2026
Length spectrum rigidity and flexibility of spheres of revolution with one equator
Alberto Abbondandolo, Marco Mazzucchelli
We define a notion of marked length spectrum for -symmetric Riemannian metrics on the two-sphere having only one equator. We prove that isospectral metrics in this class have…
math.DG2024
On potentials whose level sets are orbits
Philippe Bolle, Marco Mazzucchelli, Andrea Venturelli
A level orbit of a mechanical Hamiltonian system is a solution of Newton equation that is contained in a level set of the potential energy. In 2003, Mark Levi asked for a character…