There exist no contact Anosov diffeomorphisms
Dynamical Systems
2025-10-16 v2 Geometric Topology
Symplectic Geometry
Abstract
For any Anosov diffeomorphims on a closed odd dimensional manifold, there exists no invariant contact structure.
Keywords
Cite
@article{arxiv.2408.06965,
title = {There exist no contact Anosov diffeomorphisms},
author = {Masayuki Asaoka and Yoshihiko Mitsumatsu},
journal= {arXiv preprint arXiv:2408.06965},
year = {2025}
}
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4 pages