On the rigidity of magnetic systems with the same magnetic geodesics

Authors: Keith Burns and Vladimir Matveev

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


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