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Applications of Hofer's geometry to Hamiltonian dynamics
Auteur(s)
Date de parution
2006
In
Commentarii Mathematici Helvetici
Vol.
1
No
81
De la page
105
A la page
121
Résumé
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.
Type de publication
Resource Types::text::journal::journal article
