Geodesic
Magnetic flows and Gaussian thermostats on manifolds of negative curvature
Fundamenta Mathematicae, Tome 163 (2000) no. 2, pp. 177-191

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We consider a class of flows which includes both magnetic flows and Gaussian thermostats of external fields. We give sufficient conditions for such flows on manifolds of negative sectional curvature to be Anosov. 
Maciej Wojtkowski. Magnetic flows and Gaussian thermostats on manifolds of negative curvature. Fundamenta Mathematicae, Tome 163 (2000) no. 2, pp. 177-191. doi: 10.4064/fm-163-2-177-191
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