Volume 9 (2026)
Guedes Bonthonneau, Yannick
Extending a result of Chen, Erchenko and Gogolev
Annales Henri Lebesgue, Volume 9 (2026), pp. 299-319

Metadata

DOI10.5802/ahl.267

Abstract

In a recent paper [CEG23], 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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