Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms

Piñeyrúa Ramos, Luis Pedro - Sambarino, Martìn

Resumen:

We introduce the notion of \textit{fibered lifted partially hyperbolic diffeomorphisms} and we prove that any partially hyperbolic diifeomorphism isotopic to a fibered lifted one where the isotopy take place inside partially hyperbolic systems is \textit{dynamically coherent.} Moreover we prove some global stability result: every two partially hyperbolic diffeomorphisms in the same connected component of a fibered lifted partially hyperbolic diffeomorphisms, are leaf conjugate.


Detalles Bibliográficos
2023
PARTIAL HYPERBOLICITY
DYNAMICAL COHERENCE
GLOBAL STABILITY
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/45013
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)