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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. 481-502. ISSN 0024-6107

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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: 0024-6107
Official Date: April 2005
Volume: Vol.71
Number: No.2
Page Range: pp. 481-502
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)
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URI: http://wrap.warwick.ac.uk/id/eprint/738

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