Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-30T20:37:23.988Z Has data issue: false hasContentIssue false
  • English
  • Français

SMOOTHNESS OF HOLONOMIES FOR CODIMENSION 1 HYPERBOLIC DYNAMICS

Published online by Cambridge University Press:  22 May 2002

A. A. PINTO  and
D. A. RAND
A. A. PINTO
Affiliation:
Faculdade de Ciencias, Universidade do Porto, 4000 Porto, [email protected]
D. A. RAND
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL [email protected]
Get access

Abstract

Hyperbolic invariant sets Λ of C1+γ diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper. Under the assumption that the Λ has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C1+α for some 0 < α < 1.

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 3 , May 2002 , pp. 341 - 352
Copyright
© The London Mathematical Society 2002

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.)