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Schlenk, Félix

Nom
Schlenk, Félix
Affiliation principale
Fonction
Professeure ordinaire
Email
felix.schlenk@unine.ch
Identifiants
https://libra.unine.ch/handle/123456789/461

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  • Publication
    Accès libre
    Applications of Hofer's geometry to Hamiltonian dynamics
    (2006)
    Schlenk, Félix 
    We prove that for every subset A of a tame symplectic manifold (W, omega) meeting a semi-positivity condition, the pi(1)-sensitive Hofer-Zehnder capacity of A is not greater than four times the stable displacement energy of A, c degrees(HZ) (A, W) = 0, of Hamiltonian diffeomorphisms generated by a compactly supported time-independent Hamiltonian stops to be a minimal geodesic in its homotopy class, then a non-constant contractible periodic orbit must appear.