On polyhedral retracts and compactifications of locally symmetric spaces

DOI10.1016/j.difgeo.2004.03.001zbMath1052.22008OpenAlexW2025489915WikidataQ115358070 ScholiaQ115358070MaRDI QIDQ1877077

Enrico Leuzinger

Publication date: 16 August 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2004.03.001

zbMATH Keywords

Gromov-Hausdorff limitBusemann functionsemisimple Lie grouplocally symmetric spacediscrete grouparithmetic grouphoroballBorel-Serre compactificationreduction theoryRiemannian symmetric spacefilling-volume functionpolyhedral retract

Mathematics Subject Classification ID

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

Related Items

A Gauss-Bonnet formula for moduli spaces of Riemann surfaces, Optimal higher-dimensional Dehn functions for some CAT(0) lattices., Exponential higher dimensional isoperimetric inequalities for some arithmetic groups., Right-angularity, flag complexes, asphericity, Simplicial volume of \(\mathbb Q\)-rank one locally symmetric spaces covered by the product of \(\mathbb R\)-rank one symmetric spaces, The Dehn function of \(\text{SL}(n;\mathbb Z)\)., The distortion dimension of \(\mathbb Q\)-rank 1 lattices, Filling functions of arithmetic groups, Reduction theory for mapping class groups and applications to moduli spaces, The large-scale geometry of locally compact solvable groups, Asymptotic invariants, complexity of groups and related problems

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