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Flots magnétiques en courbure négative

Published online by Cambridge University Press:  02 April 2001

STÉPHANE GROGNET
STÉPHANE GROGNET
Affiliation:
Université de Nantes, Département de Mathématiques, U. M. R. 6629, 2, rue de la Houssinière, BP 92208, F-44322 Nantes cedex 03, France (e-mail: [email protected])
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Abstract

Consider a magnetic field on a closed Riemannian manifold of negative curvature. A geometric study provides dynamical properties of the associated flow stronger than expected for general perturbations of the geodesic flow. Under natural assumptions, a magnetic flow on a closed surface cannot be ${\mathcal C}^1$-conjugate to a geodesic flow.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 2 , April 1999 , pp. 413 - 436
Copyright
1999 Cambridge University Press

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