Geodesics on quotient manifolds and their corresponding limit points

DOI10.1307/mmj/1060013197zbMath1044.37018OpenAlexW2059555371MaRDI QIDQ1411308

Torbjörn Lundh

Publication date: 27 October 2003

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1060013197

zbMATH Keywords

limit setgeodesic flowFuchsian groupKleinian groupescape rateconical limit pointarchipelago

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

On horospheric limit sets of Kleinian groups ⋮ Hausdorff dimension of non-conical limit sets ⋮ Escaping geodesics in Riemannian surfaces with variable negative curvature ⋮ Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces ⋮ Large and small covers of a hyperbolic manifold ⋮ A lower bound for the exponent of convergence of normal subgroups of Kleinian groups ⋮ Remarks on Hausdorff dimensions for transient limits sets of Kleinian groups

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• The Hausdorff dimension of bounded geodesics on geometrically finite manifolds
• Diophantine approximation in Fuchsian groups
• The linear escape limit set
• Bounded Geodesics of Riemann Surfaces and Hyperbolic Manifolds
• Étude au voisinage de la frontière des fonctions subharmoniques positives dans un demi-espace

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