Rigidity for periodic magnetic fields

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dc.creatorBialy, M. L.
dc.date1999-02-02
dc.date.accessioned2026-07-07T05:27:45Z
dc.date.available2026-07-07T05:27:45Z
dc.descriptionWe study the motion of a charge on a conformally flat Riemannian torus in the presence of magnetic field. We prove that for any non-zero magnetic field there always exist orbits of this motion which have conjugate points. We conjecture that the restriction of conformal flatness of the metric is not essential for this result. This would provide a ``twisted'' version of the recent generalisation of Hopf's rigidity result obtained by Burago and Ivanov.
dc.description8 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/9902013
dc.identifierhttp://arxiv.org/abs/math/9902013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78039
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject58F05;58F18;58F07;58F17
dc.titleRigidity for periodic magnetic fields
dc.typetext

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