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Uniformly hyperbolic diffeomorphisms in every surfaces

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Pinto, Alberto A. and Rand, D. A. (David A.) (2011) Uniformly hyperbolic diffeomorphisms in every surfaces. Journal of Difference Equations and Applications, Vol.17 (No.7). pp. 1031-1047. doi:10.1080/10236190902964265 ISSN 1023-6198.

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Official URL: http://dx.doi.org/10.1080/10236190902964265

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Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Diffeomorphisms, Anosov diffeomorphisms
Journal or Publication Title: Journal of Difference Equations and Applications
Publisher: Taylor & Francis Inc.
ISSN: 1023-6198
Official Date: 2011
Dates:
DateEvent
2011Published
Volume: Vol.17
Number: No.7
Page Range: pp. 1031-1047
DOI: 10.1080/10236190902964265
Status: Peer Reviewed
Publication Status: Published
Funder: Fundação para a Ciência e a Tecnologia (FCT), Instituto Politécnico do Porto (IPP), Fundação Calouste Gulbenkian (FCG), European Science Foundation (ESF), Instituto de Engenharia de Sistemas e Computadores do Porto (INESC), Portugal. Ministério da Ciência e da Tecnologia (MCT), Universidade do Porto (UP), Universidade do Minho (UdM)

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