The proportionality constant for the simplicial volume of locally symmetric spaces

DOI10.4064/cm111-2-2zbMath1187.53042OpenAlexW1964443625MaRDI QIDQ5440207

Michelle Bucher-Karlsson

Publication date: 1 February 2008

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm111-2-2

zbMATH Keywords

locally symmetric spacebounded cohomologysimplicial volume

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential geometry of symmetric spaces (53C35) Continuous cohomology of Lie groups (22E41)

Related Items (9)

Proportionality principle for the Lipschitz simplicial volume ⋮ Proportionality principle for the simplicial volume of families of \(\mathbb Q\)-rank 1 locally symmetric spaces ⋮ (Bounded) continuous cohomology and Gromov's proportionality principle ⋮ The generalized Chern conjecture for manifolds that are locally a product of surfaces ⋮ Simplicial volume of \(\mathbb Q\)-rank one locally symmetric spaces covered by the product of \(\mathbb R\)-rank one symmetric spaces ⋮ The simplicial volume of closed manifolds covered by ℍ²× ℍ² ⋮ Volume invariant and maximal representations of discrete subgroups of Lie groups ⋮ A Dual Interpretation of the Gromov–Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices ⋮ Gromov’s Theory of Multicomplexes with Applications to Bounded Cohomology and Simplicial Volume

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