HYPERBOLICITY OF GROUPS WITH SUBQUADRATIC ISOPERIMETRIC INEQUALITY

1991/09/01 by A. Yu. Olshanskii · 7 citations
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · doi:10.1142/s0218196791000183

openalex publication_date 1991/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

The author gives a simple and coherent proof of Gromov's statement on hyperbolicity of groups with subquadratic isoperimetric inequality.

Cited by

• On Dehn Functions of Infinite Presentations of Groups
• Subquadratic Growth of the Averaged Dehn Function for Free Abelian Groups
• There is only one gap in the isoperimetric spectrum
• An isoperimetric inequality for the Heisenberg groups
• Fractional isoperimetric inequalities and subgroup distortion
• Bounded Cohomology Characterizes Hyperbolic Groups
• Dehn function [wikipedia]