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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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:	Date Event 2011 Published
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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