Anosov Diffeomorphisms on a Product of Surfaces
Dynamical Systems
2022-05-24 v1
Abstract
We show that there is no transitive Anosov diffeomorphism with the global product structure, which is homotopic to a product of pseudo-Anosov diffeomorphisms, on a product of two closed surfaces each of which has genus greater than or equal to two.
Cite
@article{arxiv.2205.11296,
title = {Anosov Diffeomorphisms on a Product of Surfaces},
author = {Danyu Zhang},
journal= {arXiv preprint arXiv:2205.11296},
year = {2022}
}
Comments
Partial result, comments are welcome