Amenable groups and stabilizers of measures on the boundary of a Hadamard manifold

DOI10.1007/BF01450845zbMath0599.53036OpenAlexW1984414998MaRDI QIDQ1080193

Marc Burger, Viktor Schroeder

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164215

zbMATH Keywords

group of isometriessymmetric spacefinite volumeBieberbach groupnonpositive curvatureamenable subgrouppoints at infinityBorel- measure

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Global Riemannian geometry, including pinching (53C20) Fundamental group, presentations, free differential calculus (57M05)

Related Items

Classification of negatively pinched manifolds with amenable fundamental groups, Fixed points and amenability in non-positive curvature, Obstructions to nonpositive curvature for open manifolds, At infinity of finite-dimensional CAT\((0)\) spaces, On splitting theorems for \(\mathrm{CAT}(0)\) spaces and compact geodesic spaces of non-positive curvature., Normal covering spaces with maximal bottom of spectrum, An indiscrete Bieberbach theorem: from amenable \(\mathrm{CAT}(0)\) groups to Tits buildings, Actions of amenable equivalence relations on CAT(0) fields, Hahn-Banach for metric functionals and horofunctions, Isometry groups of non-positively curved spaces: discrete subgroups

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