On the almost sure spiraling of geodesics in negatively curved manifolds

DOI10.4310/jdg/1287580966zbMath1229.53050arXiv0708.3389OpenAlexW1897639028WikidataQ115171171 ScholiaQ115171171MaRDI QIDQ616681

Sa'ar Hersonsky, Frédéric Paulin

Publication date: 12 January 2011

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

Full work available at URL: https://arxiv.org/abs/0708.3389

zbMATH Keywords

geodesicsnon-Archimedean local fieldsCAT(-1) geodesic metric spacesergodic geodesic flowpenetration behavior

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (15)

Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds ⋮ Skinning measures in negative curvature and equidistribution of equidistant submanifolds ⋮ Jarník-type inequalities ⋮ Diophantine approximation, large intersections and geodesics in negative curvature ⋮ Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces ⋮ Khinchin's theorem for approximation by integral points on quadratic varieties ⋮ Spiraling spectra of geodesic lines in negatively curved manifolds ⋮ Ultrametric logarithm laws. II ⋮ Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields ⋮ Logarithm laws for equilibrium states in negative curvature ⋮ On the nonarchimedean quadratic Lagrange spectra ⋮ Prescribing the behaviour of geodesics in negative curvature ⋮ Shrinking target problems for flows on homogeneous spaces ⋮ Excursion and return times of a geodesic to a subset of a hyperbolic Riemann surface ⋮ Lagrange spectra in Teichmüller dynamics via renormalization

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