Abstract
We compute the Hofer distance for a certain class of compactly supported symplectic diffeomorphisms of ℝ2n. They are mainly characterized by the condition that they can be generated by a Hamiltonian flow ϕ tH which possesses only constantT-periodic solutions for 0 <T ≤ 1. In addition, we show that on this class Hofer's and Viterbo's distances coincide.
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Siburg, K.F. New minimal geodesics in the group of symplectic diffeomorphisms. Calc. Var 3, 299–309 (1995). https://doi.org/10.1007/BF01189394
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DOI: https://doi.org/10.1007/BF01189394