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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. doi:10.1112/S0024610704006052 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, 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: |
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| 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) | ||||
| 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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