Pré-Publication, Document De Travail Année : 2024

Extending a result of Chen, Erchenko and Gogolev

Résumé

In a recent paper, Chen, Erchenko and Gogolev have proven that if a Riemannian manifold with boundary has hyperbolic geodesic trapped set, then it can be embedded into a compact manifold whose geodesic flow is Anosov. They have to introduce some assumptions that we discuss here. We explain how some can be removed, obtaining in particular a result applicable to all reasonable 3 dimensional examples.

Dates et versions

hal-04781691 , version 1 (13-11-2024)

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Yannick Guedes Bonthonneau. Extending a result of Chen, Erchenko and Gogolev. 2024. ⟨hal-04781691⟩
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