Rigidity of warped cones and coarse geometry of expanders

DOI10.1016/j.aim.2019.02.015zbMath1440.53047arXiv1710.03085OpenAlexW2912492759MaRDI QIDQ1731574

Xianqiang Yang

Publication date: 13 March 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03085

zbMATH Keywords

spectral gapexpandersquasi-isometric rigiditycoarse fundamental groupwarped cones

Mathematics Subject Classification ID

Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Lipschitz and coarse geometry of metric spaces (51F30)

Related Items

Superexpanders from group actions on compact manifolds ⋮ A Markovian and Roe-algebraic approach to asymptotic expansion in measure ⋮ Banach property (T) for \(\mathrm{SL}_n (\mathbb{Z})\) and its applications ⋮ The Baum–Connes conjecture: an extended survey ⋮ Discrete fundamental groups of warped cones and expanders ⋮ Super-expanders and warped cones ⋮ Coarse quotients by group actions and the maximal Roe algebra ⋮ On the structure of asymptotic expanders ⋮ Nonpositive curvature is not coarsely universal

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