Asymptotic cones and quasi-isometry invariants for hyperbolic metric spaces

DOI10.5802/aif.1816zbMath0992.20031arXivmath/0612256OpenAlexW2283575560MaRDI QIDQ5928020

Cornelia Drutu

Publication date: 20 March 2001

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612256

zbMATH Keywords

isoperimetric inequalityasymptotic conesfilling invariantsfilling radiushyperbolic spacesquasi-isometry invariants

Mathematics Subject Classification ID

Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

QUASI-ISOMETRY INVARIANTS AND ASYMPTOTIC CONES, Cheeger constants of surfaces and isoperimetric inequalities, Geometric compactification of moduli spaces of half-translation structures on surfaces, Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces, Asphericity and small cancellation theory for rotation families of groups., Knapsack problems in groups

Cites Work

• Gromov's theorem on groups of polynomial growth and elementary logic
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Filling in lattices of \(\mathbb{Q}\)-rank 1 and in solvable groups
• On the asymptotic cone of groups satisfying a quadratic isoperimetric inequality
• A short proof that a subquadratic isoperimetric inequality implies a linear one
• HYPERBOLICITY OF GROUPS WITH SUBQUADRATIC ISOPERIMETRIC INEQUALITY
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