[Hyperbolicité de Gromov et quasi-hyperbolique géodésique]
Nous caractérisons l'hyperbolicité au sens de Gromov de l'espace quasi-hyperbolique par des propriétés géométriques (dites condition de Gehring-Hayman et condition de séparation des boules) de l'espace métrique mesuré Ahlfors-régulier .
We characterize Gromov hyperbolicity of the quasihyperbolic metric space by geometric properties of the Ahlfors regular length metric measure space . The characterizing properties are called the Gehring-Hayman condition and the ball-separation condition.
DOI : 10.24033/asens.2231
Keywords: Gehring-Hayman inequality, Gromov hyperbolicity, quasihyperbolic metric.
Mot clés : Inégalité de Gehring-Hayman, hyperbolicité de Gromov, métrique quasi-hyperbolique.
@article{ASENS_2014__47_5_975_0,
author = {Koskela, Pekka and Lammi, P\"aivi and Manojlovi\'c, Vesna},
title = {Gromov hyperbolicity and quasihyperbolic geodesics},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {975--990},
publisher = {Soci\'et\'e Math\'ematique de France. Tous droits r\'eserv\'es},
volume = {Ser. 4, 47},
number = {5},
year = {2014},
doi = {10.24033/asens.2231},
mrnumber = {3294621},
zbl = {1317.30085},
language = {en},
url = {http://www.numdam.org/articles/10.24033/asens.2231/}
}
TY - JOUR AU - Koskela, Pekka AU - Lammi, Päivi AU - Manojlović, Vesna TI - Gromov hyperbolicity and quasihyperbolic geodesics JO - Annales scientifiques de l'École Normale Supérieure PY - 2014 SP - 975 EP - 990 VL - 47 IS - 5 PB - Société Mathématique de France. Tous droits réservés UR - http://www.numdam.org/articles/10.24033/asens.2231/ DO - 10.24033/asens.2231 LA - en ID - ASENS_2014__47_5_975_0 ER -
%0 Journal Article %A Koskela, Pekka %A Lammi, Päivi %A Manojlović, Vesna %T Gromov hyperbolicity and quasihyperbolic geodesics %J Annales scientifiques de l'École Normale Supérieure %D 2014 %P 975-990 %V 47 %N 5 %I Société Mathématique de France. Tous droits réservés %U http://www.numdam.org/articles/10.24033/asens.2231/ %R 10.24033/asens.2231 %G en %F ASENS_2014__47_5_975_0
Koskela, Pekka; Lammi, Päivi; Manojlović, Vesna. Gromov hyperbolicity and quasihyperbolic geodesics. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 47 (2014) no. 5, pp. 975-990. doi : 10.24033/asens.2231. http://www.numdam.org/articles/10.24033/asens.2231/
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