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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

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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.
Subjects: Science & Engineering > Mathematics & 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
URI:

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