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Zbl 1108.30033
Balogh, Zoltán M.; Buckley, Stephen M.
Sphericalization and flattening. (English)
[J] Conform. Geom. Dyn. 9, 76-101, electronic only (2005). ISSN 1088-4173/e

Summary: 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.
MSC 2000:
*30F45 Conformal metrics

Keywords: quasihyperbolic metrics

Cited in: Zbl 1182.54030

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