Kazhdan's property (T), \(L^2\)-spectrum and isoperimetric inequalities for locally symmetric spaces

DOI10.1007/S000140300005zbMath1027.22015OpenAlexW2040535548MaRDI QIDQ1409274

Enrico Leuzinger

Publication date: 12 October 2003

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140300005

zbMATH Keywords

Brownian motiondiscrete subgroupsisoperimetric inequalitiessemisimple Lie groupsLaplacian spectrumlocally symmetric spacesKazhdan's property (T)

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (7)

Schrödinger equations on locally symmetric spaces ⋮ Geometric estimates on weighted p-fundamental tone and applications to the first eigenvalue of submanifolds with bounded mean curvature ⋮ Bounded cohomology and the Cheeger isoperimetric constant ⋮ Oscillating multipliers on rank one locally symmetric spaces ⋮ Filling functions of arithmetic groups ⋮ Critical exponents of discrete groups and 𝐿²–spectrum ⋮ Bottom of the \(L^2\) spectrum of the Laplacian on locally symmetric spaces

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