Year: 2024
Type: article
Abstract: : We consider a class of partially hyperbolic diffeomorphisms introduced by the authors with Barthelm\'{e} which is open and closed and contains all known examples. If in addition the diffeomorphism is non-wandering, then we show it is accessible unless it contains a $su$-torus. This implies that these systems are ergodic when they preserve volume, confirming a conjecture by Hertz-Hertz-Ures for this class of systems.
Source: American Journal of Mathematics
Authors: Sergio R. Fenley, Rafael Potrie
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4402873874