Characterizations of metric trees and Gromov hyperbolic spaces

• Autores: Stefan Wenger
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 5-6, 2008, págs. 1017-1026
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n5.a14
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• Resumen

  • 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.