On the asymptotic geometry of area-preserving maps

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dc.creatorPolterovich, Leonid
dc.creatorSiburg, Karl Friedrich
dc.date1999-05-10
dc.date.accessioned2026-07-07T05:29:00Z
dc.date.available2026-07-07T05:29:00Z
dc.descriptionWe study the asymptotic behaviour of 1-parameter subgroups with respect to Hofer's metric when the underlying symplectic manifold is an open surface of infinite area. We prove that, depending on the topology of the level sets of the Hamiltonian H, the distance either is bounded or behaves asymptotically linear. Moreover, the slope can be calculated explicitly as the difference of two distinguished critical values of H.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/9905054
dc.identifierhttp://arxiv.org/abs/math/9905054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78475
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.titleOn the asymptotic geometry of area-preserving maps
dc.typetext

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