Strongly adapted contact geometry of Anosov 3-flows
Symplectic Geometry
2025-04-04 v3 Dynamical Systems
Geometric Topology
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.
Keywords
Cite
@article{arxiv.2410.21208,
title = {Strongly adapted contact geometry of Anosov 3-flows},
author = {Surena Hozoori},
journal= {arXiv preprint arXiv:2410.21208},
year = {2025}
}
Comments
Final pre-publication version: To be published in Journal of Fixed Point Theory and Applications (Collection on "Symplectic geometry and Anosov flows"). 31 pages, 6 figures. Comments are welcome!