Absolutely partially hyperbolic surface endomorphisms are dynamically coherent
Dynamical Systems
2026-01-01 v1 Geometric Topology
Abstract
We show that if an endomorphism is absolutely partially hyperbolic, then it has a center foliation. Moreover, the center foliation is leaf conjugate to that of its linearization.
Cite
@article{arxiv.2512.23831,
title = {Absolutely partially hyperbolic surface endomorphisms are dynamically coherent},
author = {M. Andersson and W. Ranter},
journal= {arXiv preprint arXiv:2512.23831},
year = {2026}
}
Comments
7 pages