Extending a result of Chen, Erchenko and Gogolev
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.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Annales Henri Lebesgue
- Volume
- 9
- Pages
- 299–319
- Publication date
- 6 May 2026
- Language
- EN