Asymptotic geometry in products of Hadamard spaces with rank one isometries.

DOI10.2140/GT.2010.14.1063zbMath1273.20040arXiv0812.1890OpenAlexW3098949300MaRDI QIDQ969684

Gabriele Link

Publication date: 7 May 2010

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.1890

zbMATH Keywords

critical exponentslimit setsKac-Moody groupsCAT(0)-spacesasymptotic properties of discrete groupsproducts of Hadamard spaces

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Discrete subgroups of Lie groups (22E40) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Kac-Moody groups (20G44)

Related Items (8)

Patterson–Sullivan theory for Anosov subgroups ⋮ Boundaries of Croke-Kleiner-admissible groups and equivariant cell-like equivalence ⋮ Actions on products of \(\mathrm{CAT}(-1)\) spaces ⋮ Cell-like equivalences and boundaries of \(CAT(0)\) groups ⋮ Rank rigidity for CAT(0) cube complexes. ⋮ Hopf-Tsuji-Sullivan dichotomy for quotients of Hadamard spaces with a rank one isometry ⋮ Equidistribution and counting of orbit points for discrete rank one isometry groups of Hadamard spaces ⋮ Generalized conformal densities for higher products of rank one Hadamard spaces.

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