Prescribing the behaviour of geodesics in negative curvature

DOI10.2140/gt.2010.14.277zbMath1191.53026arXiv0706.2579OpenAlexW3105945745WikidataQ60692714 ScholiaQ60692714MaRDI QIDQ1035309

Jouni Parkkonen, Frédéric Paulin

Publication date: 2 November 2009

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

Full work available at URL: https://arxiv.org/abs/0706.2579

zbMATH Keywords

geodesicsDiophantine approximationnegative curvatureLagrange spectrumhoroballsHall ray

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Spherical and hyperbolic convexity (52A55) Geodesic flows in symplectic geometry and contact geometry (53D25) Markov and Lagrange spectra and generalizations (11J06)

Related Items (23)

Prescribing the behavior of Weil–Petersson geodesics in the moduli space of Riemann surfaces ⋮ The Lagrange spectrum of some square-tiled surfaces ⋮ Finiteness of Gibbs measures on noncompact manifolds with pinched negative curvature ⋮ Aperiodic sequences and aperiodic geodesics ⋮ Counting and equidistribution in quaternionic Heisenberg groups ⋮ Jarník-type inequalities ⋮ On Hall rays in the Diophantine approximation ⋮ On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature ⋮ Counting common perpendicular arcs in negative curvature ⋮ Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces ⋮ Counting and equidistribution in Heisenberg groups ⋮ On strictly convex subsets in negatively curved manifolds ⋮ Spiraling spectra of geodesic lines in negatively curved manifolds ⋮ Ultrametric logarithm laws. II ⋮ On the closedness of approximation spectra ⋮ Logarithm laws for equilibrium states in negative curvature ⋮ On the nonarchimedean quadratic Lagrange spectra ⋮ A classification of \(\mathbb{R}\)-Fuchsian subgroups of Picard modular groups ⋮ On the arithmetic of cross-ratios and generalised Mertens' formulas ⋮ On the classification of right-angled hyperbolic hexagons in dimension 5 ⋮ On the hyperbolic orbital counting problem in conjugacy classes ⋮ Lagrange spectra in Teichmüller dynamics via renormalization ⋮ Integral binary Hamiltonian forms and their waterworlds

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