Magnetic flows and Gaussian thermostats on manifolds of negative curvature

2000/01/01 by Maciej Wojtkowski, Maciej P. Wojtkowski · 3 citations
Mathematics · #Mathematical Dynamics and Fractals #Geometric Analysis and Curvature Flows #advanced mathematical theories

paper · pdf · doi:10.4064/fm-163-2-177-191

Abstract

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.

Cited by

• Electromagnetic curvature via Jacobi-Maupertuis and beyond
• The submanifold compatibility equations in magnetic geometry
• Magnetic Flatness and E. Hopf's Theorem for Magnetic Systems. [europepmc]

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