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Strongly adapted contact geometry of Anosov 3-flows (2410.21208v3)
Published 28 Oct 2024 in math.SG, math.DS, and math.GT
Abstract: We provide a 3 dimensional contact geometric characterization of Anosov 3-flows based on interactions with Reeb dynamics. We investigate basic properties of the space of the resulting geometries and in particular show that such space is homotopy equivalent to the space of Anosov 3-flows. A technical theorem on the asymptotic synchronization of adapted norms is proved, which can be of broader interest.
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