Mathematical Research Letters

Volume 15, Issue 5, September 2008 pp. 1017-1026.

Characterizations of metric trees and Gromov hyperbolic spaces

Authors: Stefan Wenger
Author institution: Courant Institute of Mathematical Sciences

Summary: In this note we give new characterizations of metric trees and Gromov hyperbolic spaces and generalize recent results of Chatterji and Niblo. Our results have a purely metric character, however, their proofs involve two classical tools from analysis: Stokes' formula in $\R^2$ and a Rademacher type differentiation theorem for Lipschitz maps.

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