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