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Balogh, Zoltán M. and Buckley, Stephen M. (2005) Sphericalization and flattening. Conformal Geometry and Dynamics. An Electronic Journal of the AMS, 9. pp. 76-101. ISSN 1088-4173
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Official URL: http://www.ams.org/ecgd/2005-09-04/S1088-4173-05-0...
Abstract
The conformal deformations of flattening and sphericalization of length metric spaces are considered. These deformations are dual to each other if the space satisfies a simple quantitative connectivity property. Moreover, the quasihyperbolic metrics corresponding to the flat and the spherical metrics are bilipschitz equivalent if a weaker connectivity condition is satisfied.
| Item Type: | Article |
|---|---|
| Additional Information: | First published in Conformal Geometry and Dynamics. An Electronic Journal of the AMS in Vol. 9, 2005, published by the American Mathematical Society. http://www.ams.org/ecgd/2005-09-04/S1088-4173-05-00124-4/S1088-4173-05-00124-4.pdf |
| Keywords: | Conformal deformations; Flattening; Sphericalization; Quasihyperbolic metrics. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1596 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 20 Oct 2009 10:07 |
| Journal or Publication Title: | Conformal Geometry and Dynamics. An Electronic Journal of the AMS |
| Publisher: | American Mathematical Society |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1596 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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