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math.DS2026
Absence of free-time minimizers for N-body problems and a splitting theorem
Rotem Assouline, Marco Mazzucchelli
For the -body problem in dimension , we give an alternative proof of a theorem of da Luz and Maderna on the nonexistence of free-time minimizers defined on the entire r…
math.DS2026
Klingenberg's theorem on Anosov geodesic flows
Rotem Assouline, Marco Mazzucchelli
In 1970, Klingenberg proved a fundamental result on closed Riemannian manifolds with Anosov geodesic flows, asserting that such manifolds are without conjugate points. The proof, b…