Published in

Wiley, Journal of the London Mathematical Society, 02(71), p. 481-502, 2005

DOI: 10.1112/s0024610704006052

Links

Tools

Export citation

Search in Google Scholar

Rigidity of hyperbolic sets on surfaces

Journal article published in 2005 by Pinto Aa, Aa A. Pinto, D. A. (David A.) Rand, Da A. (David A.) Rand ORCID
This paper is available in a repository.
This paper is available in a repository.

Full text: Download

Green circle
Preprint: archiving allowed
Upload
Green circle
Postprint: archiving allowed
Upload
Red circle
Published version: archiving forbidden
Policy details
Data provided by SHERPA/RoMEO

Abstract

Given a hyperbolic invariant set of a diffeomorphism on a surface, it is proved that, if the holonomies are sufficiently smooth, then the diffeomorphism on the hyperbolic invariant set is rigid in the sense that it is C^{1+} conjugate to a hyperbolic affine model. ; Given a hyperbolic invariant set of a diffeomorphism on a surface, it is proved that, if the holonomies are sufficiently smooth, then the diffeomorphism on the hyperbolic invariant set is rigid in the sense that it is C1+ conjugate to a hyperbolic affine model.