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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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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:

0024-6107

Official Date:

April 2005

Dates:

Date	Event
April 2005	Published

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)

References:

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