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Rigidity of hyperbolic sets on surfaces
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Pinto, A. A. and Rand, D. A. (David A.). (2005) Rigidity of hyperbolic sets on surfaces. Journal of the London Mathematical Society, Vol.71 (No.2). pp. 481502. ISSN 00246107

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Official URL: http://dx.doi.org/10.1112/S0024610704006052
Abstract
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.
Item Type:  Journal Article 

Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Science > Mathematics 
Library of Congress Subject Headings (LCSH):  Hyperbolic spaces, Diffeomorphisms, Rigidity (Geometry), Discrete geometry, Holonomy groups 
Journal or Publication Title:  Journal of the London Mathematical Society 
Publisher:  Cambridge University Press 
ISSN:  00246107 
Official Date:  April 2005 
Volume:  Vol.71 
Number:  No.2 
Page Range:  pp. 481502 
Identification Number:  10.1112/S0024610704006052 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
Funder:  Science and Engineering Research Council (Great Britain) (SERC), Wolfson Foundation (WF), Fundação Calouste Gulbenkian (FCG), Fundação para a Ciência e a Tecnologia (FCT), European Science Foundation (ESF) 
References:  1. V. I. Arnol’d, ‘Small denominators. I: On the mapping of a circle into itself’, Investijia Akad. Nauk Math. 25 (1961) 21–96 (Russian), Transl. Amer. Math. Soc. 46, 213–284 (English). 
URI:  http://wrap.warwick.ac.uk/id/eprint/738 
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