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 ISSN 0024-6107.
![[thumbnail of WRAP_Pinto_Rigidity_hyperbolic.pdf]](https://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png) Preview |
PDF
WRAP_Pinto_Rigidity_hyperbolic.pdf - Requires a PDF viewer. Download (311kB) |
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, 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 (Creative Commons open licence) |
| 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) |
| URI: | https://wrap.warwick.ac.uk/738/ |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |