Characterizations of Metric Trees and Gromov Hyperbolic Spaces
نویسنده
چکیده
A. 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 R2 and a Rademacher type differentiation theorem for Lipschitz maps. This analytic approach can be used to give characterizations of Gromov hyperbolicity via isoperimetric inequalities with optimal constants.
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