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Anosov magnetic flows on surfaces

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arxiv 2406.18735 v2 pith:IDBXUQLY submitted 2024-06-26 math.DS math.DG

classification math.DSmath.DG
keywords anosovmagneticbundleclosedconditionsflowflowsgive
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Using the quotient bundle introduced by Wojtkowski, we give necessary and sufficient conditions for a magnetic flow on a closed, oriented surface to be Anosov.

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Cited by 1 Pith paper

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  1. Surfaces with nonpositive magnetic curvature

    math.DS 2026-08 reject novelty 8.0 of 10

    Magnetic flows on negatively curved surfaces with nonpositive magnetic curvature retain topological transitivity, dense periodic orbits, and equilibrium states, but the natural magnetic distance is not symmetric and f...

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