A symplectic viewpoint on Anosov flows
Symplectic Geometry
2025-03-19 v2 Dynamical Systems
Abstract
This survey explores the geometry of three-dimensional Anosov flows from the perspective of contact and symplectic geometry, following the work of Mitsumatsu, Eliashberg-Thurston, Hozoori, and the author. We also present a few original results and discuss various open questions and conjectures.
Keywords
Cite
@article{arxiv.2503.00123,
title = {A symplectic viewpoint on Anosov flows},
author = {Thomas Massoni},
journal= {arXiv preprint arXiv:2503.00123},
year = {2025}
}
Comments
32 pages, 2 figures. V2: minor modifications and corrections based on anonymous referee suggestions. To appear in the Proceedings of the workshop "Symplectic geometry and Anosov flows" published by the Journal of Fixed Point Theory and Applications