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math.SG2010★ 1 cited
On a theorem due to Birkhoff
Marie-Claude Arnaud
The manifold M being compact and connected, we prove that every submanifold of its cotangent bundle that is Hamiltonianly isotopic to the zero-section and that is invariant by a To…
math.SG2010★ 11 cited
Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation
Marie-Claude Arnaud
Let H be a Tonelli Hamiltonian defined on the cotangent bundle of a compact and connected manifold and let u be a semi-concave function defined on M. If E (u) is the set of all the…