Abstract:
We study the analogue for magnetic flows
of the classical question of when two different metrics on the same
manifold share geodesics which are the same up to reparametrization.
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The research in this article was supported by National Science Foundation grants DMS-0100416 and DMS-0408704. Needless to say, any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Authors' addresses:
Keith Burns
Department of Mathematics
Northwestern University
Evanston, IL 60208-2730
Vladimir Matveev
Mathematisches Institut
Universität Freiburg
79104 Freiburg
Germany