Möbius invariant metrics bilipschitz equivalent to the hyperbolic metric

Herron, David; Ma, William; Minda, David

doi:10.1090/S1088-4173-08-00178-1

Möbius invariant metrics bilipschitz equivalent to the hyperbolic metric
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by David A. Herron, William Ma and David Minda

Conform. Geom. Dyn. 12 (2008), 67-96

DOI: https://doi.org/10.1090/S1088-4173-08-00178-1

Published electronically: June 10, 2008

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Abstract:

We study three Möbius invariant metrics, and three affine invariant analogs, all of which are bilipschitz equivalent to the Poincaré hyperbolic metric. We exhibit numerous illustrative examples.

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