Sphericalization and flattening
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 AbstractThe 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. | 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 |
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| Keywords: | Conformal deformations; Flattening; Sphericalization; Quasihyperbolic metrics. |
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| Subjects: | Science & Engineering > Mathematics |
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| ID Code: | 1596 |
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| Deposited By: | Prof. Stephen Buckley |
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| Deposited On: | 20 Oct 2009 11:07 |
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| Journal or Publication Title: | Conformal Geometry and Dynamics. An Electronic Journal of the AMS |
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| Publisher: | American Mathematical Society |
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| Refereed: | Yes |
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| URL: | http://www.ams.org/ecgd/ |
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