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arxiv: 1501.04763 · v3 · pith:2DPUXKYFnew · submitted 2015-01-20 · 🧮 math.SG · math.DS

Hofer growth of C¹-generic Hamiltonian flows

classification 🧮 math.SG math.DS
keywords generichamiltonianhofercertainclosedcovercyclicdiffeomorphisms
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We prove that on certain closed symplectic manifolds a $C^1$-generic cyclic subgroup of the universal cover of the group of Hamiltonian diffeomorphisms is undistorted with respect to the Hofer metric.

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