Shadow Lemma and nondivergence of the horospheres of a geometrically finite manifold.

DOI10.5802/aif.2039zbMath1063.37029OpenAlexW2952636543MaRDI QIDQ1774051

Barbara Schapira

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_4_939_0

zbMATH Keywords

horospheresPatterson measuregeometrically finite manifoldsnondivergence (or tightness)Shadow Lemma

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Measure-theoretic ergodic theory (28D99)

Related Items (10)

Isolations of geodesic planes in the frame bundle of a hyperbolic 3-manifold ⋮ Classification of joinings for Kleinian groups ⋮ Skinning measures in negative curvature and equidistribution of equidistant submanifolds ⋮ Exact approximation order and well-distributed sets ⋮ Effective equidistribution of horospherical flows in infinite volume rank-one homogeneous spaces ⋮ Manhattan curves for hyperbolic surfaces with cusps ⋮ On interpreting Patterson–Sullivan measures of geometrically finite groups as Hausdorff and packing measures ⋮ Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces ⋮ Entropy rigidity of negatively curved manifolds of finite volume ⋮ Invariant Radon measures for Unipotent flows and products of Kleinian groups

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