Uniformly hyperbolic diffeomorphisms in every surfaces

• Type: Article in International Scientific Journal
• Date: 2011

Authors

A. A. Pinto (Author) FCUP; D. A. Rand (Author) FCUP

Journal

Title: Journal of Difference Equations and Applications

Vol. 17 No. 7

Pages: 1031-1047

ISSN: 1023-6198

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences

Other information

Authenticus ID: P-002-XC8

DOI: 10.1080/10236190902964265

Resumo (PT): We present the construction of new pseudo-smooth structures, near the singularities, such that the pseudo-Anosov maps are diffeomorphisms, in this pseudo-smooth structures, and have the property that the stable and unstable foliations are uniformly contracted and expanded by the pseudo-Anosov dynamics. We construct the C^{1+} orthogonal charts of such pseudo-Anosov diffeomoprhisms.

Abstract (EN): We present the construction of new pseudo-smooth structures, near the singularities, such that the pseudo-Anosov maps are diffeomorphisms, in this pseudo-smooth structures, and have the property that the stable and unstable foliations are uniformly contracted and expanded by the pseudo-Anosov dynamics. We construct the C(1+) orthogonal charts of such pseudo-Anosov diffeomoprhisms.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17