TY - JOUR
T1 - A class of C∞-stable foliations
AU - Alaoui, Aziz el Kacimi
AU - Nicolau, Marcel
PY - 1993/1/1
Y1 - 1993/1/1
N2 - We consider foliations F obtained as the suspension of a linear foliation F0 on n by means of a linear Anosov diffeomorphism A of n keeping F0 invariant. Under suitable conditions on A the foliations F are shown to be C∞-stable, i.e. any differentiable foliation which is C∞-close to F is C∞-conjugated to F. The proof relies on a criterium of stability stated by R. Hamilton. © 1993, Cambridge University Press. All rights reserved.
AB - We consider foliations F obtained as the suspension of a linear foliation F0 on n by means of a linear Anosov diffeomorphism A of n keeping F0 invariant. Under suitable conditions on A the foliations F are shown to be C∞-stable, i.e. any differentiable foliation which is C∞-close to F is C∞-conjugated to F. The proof relies on a criterium of stability stated by R. Hamilton. © 1993, Cambridge University Press. All rights reserved.
UR - https://www.scopus.com/pages/publications/0040990207
U2 - 10.1017/S0143385700007628
DO - 10.1017/S0143385700007628
M3 - Article
SN - 0143-3857
VL - 13
SP - 697
EP - 704
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
ER -