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Jeffrey Boland - Magnetic fields on negatively curved manifolds
| JEFFREY BOLAND, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada |
| Magnetic fields on negatively curved manifolds |
Closed 2-forms 
on a Riemannian manifold M induce magnetic
field flows in the unit tangent bundle SM which model the motion of
a
charged particle under the influence of the ``magnetic field''
. When M is negatively curved and the magnetic field is
weak, these flows are hyperbolic and have many interesting properties.
We discuss in particular their entropy, the regularity of their
hyperbolic splitting, and the question of when they are isomorphic to
(Finsler or Riemannian) geodesic flows. Particular attention will be
given to the case when M is a locally symmetric space.
