On the rigidity of magnetic systems with the same magnetic geodesics

Burns, Keith; Matveev, Vladimir

doi:10.1090/S0002-9939-05-08196-7

On the rigidity of magnetic systems with the same magnetic geodesics
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by Keith Burns and Vladimir S. Matveev PDF

Proc. Amer. Math. Soc. 134 (2006), 427-434 Request permission

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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