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arXiv · 2309.11302

Extending a result of Chen, Erchenko and Gogolev

Yannick Guedes Bonthonneau
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Abstract

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.

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BibTeXRIS

Yannick Guedes Bonthonneau. 2023-09-20. Extending a result of Chen, Erchenko and Gogolev. https://arxiv.org/abs/2309.11302

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