A Birman-Series type result for geodesics with infinitely many self-intersections

DOI10.1090/tran/8108zbMath1476.57039arXiv1609.00428OpenAlexW3097827904MaRDI QIDQ5158090

Jenya Sapir

Publication date: 21 October 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00428

zbMATH Keywords

self-intersections of geodesicssets of complete geodesics on compact hyperbolic surfaces

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (1)

Volume bound for the canonical lift complement of a random geodesic

Cites Work

• Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces
• Geodesics with bounded intersection number on surfaces are sparsely distributed
• Asymptotic behavior of convex sets in the hyperbolic plane
• The geometry of Teichmüller space via geodesic currents
• Building hyperbolic metrics suited to closed curves and applications to lifting simply
• Variations on a theorem of Birman and Series
• Lifting Curves Simply
• Bounds on the Number of Non-Simple Closed Geodesics on a Surface
• SMALL CURVATURE SURFACES IN HYPERBOLIC 3-MANIFOLDS
• Universal length bounds for non-simple closed geodesics on hyperbolic surfaces

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