Balogh, Zoltán M. and Buckley, Stephen M.
Sphericalization and flattening.
Conformal Geometry and Dynamics. An Electronic Journal of the AMS, 9.
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.
||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
||Conformal deformations; Flattening; Sphericalization; Quasihyperbolic metrics.
||Science & Engineering > Mathematics & Statistics
Prof. Stephen Buckley
||20 Oct 2009 10:07
|Journal or Publication Title:
||Conformal Geometry and Dynamics. An Electronic Journal of the AMS
||American Mathematical Society
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