Dynamics of the action of a \(\text{CAT}(0)\) group on the boundary

DOI10.1023/A:1010301824765zbMath0984.20027OpenAlexW11490679MaRDI QIDQ5933870

Kim E. Ruane

Publication date: 5 February 2002

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010301824765

zbMATH Keywords

free subgroups\(\text{CAT}(0)\) spacesantipodal pairsgroups acting geometricallygroups actions by isometriesinfinite order elementsisometric embeddingsnonpositively curved manifoldsrank one spacesvirtually central elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Other geometric groups, including crystallographic groups (20H15)

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