Critical exponent and displacement of negatively curved free groups.

DOI10.4310/jdg/1090348091zbMath1038.53040OpenAlexW2137579813WikidataQ115202872 ScholiaQ115202872MaRDI QIDQ1609811

Yong Hou

Publication date: 15 August 2002

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1090348091

zbMATH Keywords

freecritical exponentPoincaré seriesHausdorff dimensionharmonic measuregroupdisplacementPatterson-Sullivan theorypinched negative curvatureGromov metricconformal densityBusemann metricCuller-Shalen paradoxical decomposition theoremshadow metricTopogonov comparison theorem

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Non-Euclidean differential geometry (53A35) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Groups as automorphisms of other structures (22F50)

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