Poincaré profiles of Lie groups and a coarse geometric dichotomy

DOI10.1007/s00039-022-00617-4OpenAlexW3097897831WikidataQ115389198 ScholiaQ115389198MaRDI QIDQ2088128

Romain Tessera, David Hume, John M. Mackay

Publication date: 21 October 2022

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02963

Mathematics Subject Classification ID

Global differential geometry (53Cxx) Special aspects of infinite or finite groups (20Fxx) Lie groups (22Exx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A family of singular oscillatory integral operators and failure of weak amenability
• Contracting automorphisms and \(L^p\)-cohomology in degree one
• Connected Lie groups and property RD
• Hyperbolic buildings, conformal dimension and Mostow rigidity
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Embeddings of Gromov hyperbolic spaces
• Exponential radicals of solvable Lie groups
• Dynamic characterizations of quasi-isometry and applications to cohomology
• Quasi-isometric embeddings of symmetric spaces
• Groups with no coarse embeddings into hyperbolic groups
• On the separation profile of infinite graphs
• Assouad-Nagata dimension of connected Lie groups
• The identity component of the isometry group of a compact Lorentz manifold
• Poincaré profiles of groups and spaces
• Quasi-isometric embeddings of non-uniform lattices. With an appendix by S. Garibaldi, D. B. McReynolds, N. Miller and D. Witte Morris.
• On homogeneous manifolds of negative curvature
• Geometric presentations of Lie groups and their Dehn functions
• Embedding of hyperbolic spaces in the product of trees
• A continuum of expanders
• Dimension conforme et sphère à l'infini des variétés à courbure négative
• The Universal Representation Kernel of a Lie Group
• Dimension of asymptotic cones of Lie groups
• Plongements lipschitziens dans ${\bbfR}\sp n$
• Croissance polynomiale et périodes des fonctions harmoniques
• Quasi-flats and rigidity in higher rank symmetric spaces
• Cohomologie ℓp espaces de Besov
• Lamplighters, Diestel–Leader Graphs, Random Walks, and Harmonic Functions
• Large scale conformal maps
• Poorly connected groups
• On the commability and quasi-isometry classification of focal groups
• A characterization of growth in locally compact groups
• Analysis on Lie groups
• Groups with the Haagerup property. Gromov's a-T-menability
• The large scale geometry of the higher Baumslag-Solitar groups
• Harmonic functions on planar and almost planar graphs and manifolds, via circle packings

This page was built for publication: Poincaré profiles of Lie groups and a coarse geometric dichotomy