Rigidity of hyperbolic sets on surfaces

• Type: Article in International Scientific Journal
• Date: 2005

Authors

Pinto, AA (Author) FCUP; Rand, DA (Author) Other

Journal

Title: Journal of the London Mathematical Society

Vol. 71 No. 2

Pages: 481-502

ISSN: 0024-6107

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 8 Citations

Scopus - 11 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-431

DOI: 10.1112/s0024610704006052

Resumo (PT): 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.

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22