On codimension one partially hyperbolic diffeomorphisms
Dynamical Systems
2022-11-03 v1
Abstract
We show that every codimension one partially hyperbolic diffeomorphism must support on . It is locally uniquely integrable and derived from a linear codimension one Anosov diffeomorphism. Moreover, this system is intrinsically ergodic, and the A. Katok's conjecture about the existence of ergodic measures with intermediate entropies holds for it.
Cite
@article{arxiv.2211.01124,
title = {On codimension one partially hyperbolic diffeomorphisms},
author = {Xiang Zhang},
journal= {arXiv preprint arXiv:2211.01124},
year = {2022}
}
Comments
26 pages, 5 figures. Any suggestions and comments are welcome