On the rigidity of magnetic systems with the same magnetic geodesics
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Publication:5705552
DOI10.1090/S0002-9939-05-08196-7zbMath1079.37019MaRDI QIDQ5705552
Keith Burns, Vladimir S. Matveev
Publication date: 9 November 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Projective connections (53B10)
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Cites Work
- Trajectory equivalence and corresponding integrals
- Magnetic flows of Anosov type
- On the regularity of the Anosov splitting for twisted geodesic flows
- Hyperbolic manifolds are geodesically rigid
- The dynamics of magnetic flows for energies above Mañé's critical value
- On two noteworthy deformations of negatively curved Riemannian metrics
- Geodesic equivalence via integrability
- First derivative of topological entropy for Anosov geodesic flows in the presence of magnetic fields
- Flots magnétiques en courbure négative
- Entropy rigidity and harmonic fields
- Metric with ergodic geodesic flow is completely determined by unparameterized geodesics
- Anosov magnetic flows, critical values and topological entropy
- Magnetic flows and Gaussian thermostats on manifolds of negative curvature
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