Applications of Hofer's geometry to Hamiltonian dynamics
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Commentarii Mathematici Helvetici
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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.
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Resource Types::text::journal::journal article