Growth of discrete groups of isometries in negative curvature: a gap-property.

DOI10.1016/j.crma.2005.09.025zbMath1101.53014OpenAlexW2044985144MaRDI QIDQ2574132

Gérard Besson, Sylvestre Gallot, Gilles Courtois

Publication date: 17 November 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.09.025

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• Rigidity of amalgamated products in negative curvature
• Uniform growth in hyperbolic groups
• On uniform exponential growth for linear groups.
• Uniform growth in groups of exponential growth
• On exponential growth and uniformly exponential growth for groups.
• NONVANISHING OF ALGEBRAIC ENTROPY FOR GEOMETRICALLY FINITE GROUPS OF ISOMETRIES OF HADAMARD MANIFOLDS
• Growth of relatively hyperbolic groups
• The entropy of solvable groups
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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