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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the rigidity of magnetic systems with the same magnetic geodesics


Authors: Keith Burns and Vladimir S. Matveev
Journal: Proc. Amer. Math. Soc. 134 (2006), 427-434
MSC (2000): Primary 37Dxx, 37D40, 37Jxx, 53B10
Published electronically: September 20, 2005
MathSciNet review: 2176011
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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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Additional Information

Keith Burns
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
Email: burns@math.northwestern.edu

Vladimir S. Matveev
Affiliation: Mathematisches Institut, Universität Freiburg, 79104 Germany
Email: matveev@email.mathematik.uni-freiburg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08196-7
PII: S 0002-9939(05)08196-7
Received by editor(s): September 5, 2004
Published electronically: September 20, 2005
Additional Notes: The first author was supported by NSF grants DMS-9803346 and DMS-0100416
The second author was supported by DFG-programm 1154 (Global Differential Geometry) and Ministerium für Wissenschaft, Forschung und Kunst Baden-Württemberg (Eliteförderprogramm Postdocs 2003).
Communicated by: Michael Handel
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.