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. doi:10.1112/S0024610704006052

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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, Engineering and Medicine > 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
Dates:	Date Event April 2005 Published
Volume:	Vol.71
Number:	No.2
Page Range:	pp. 481-502
DOI:	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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