Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-27T04:14:24.619Z Has data issue: false hasContentIssue false
  • English
  • Français

A sufficient condition for robustly minimal foliations

Published online by Cambridge University Press:  13 January 2006

ENRIQUE R. PUJALS  and
MARTÍN SAMBARINO
ENRIQUE R. PUJALS
Affiliation:
IMPA, Estrada Dona Castorina 110, CP 22460-320, Rio de Janeiro, Brazil (e-mail: [email protected])
MARTÍN SAMBARINO
Affiliation:
Centro de Matemática, Fac. de Ciencias, Iguá 4225, CP 11.400, Montevideo, Uruguay (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Let $f:M\to M$ be a partially hyperbolic diffeomorphism, ${\it TM}=E^{ss}\oplus E^c\oplus E^{uu}$ such that the stable foliation $\mathcal{F}^{ss}(f)$ is minimal. We give a sufficient condition so that this foliation remains minimal after perturbations, i.e. $\mathcal{F}^{ss}(g)$ is minimal for every g sufficiently close to f.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 1 , February 2006 , pp. 281 - 289
Copyright
2006 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)