Short closed geodesics on cusped hyperbolic surfaces

DOI10.2140/pjm.2022.318.127zbMath1496.32014arXiv1912.09967OpenAlexW4289528287WikidataQ115497254 ScholiaQ115497254MaRDI QIDQ2160170

Hanh Nguyen Vo

Publication date: 3 August 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09967

zbMATH Keywords

closed geodesicshyperbolic surfaces

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesics in global differential geometry (53C22)

Related Items (2)

Length minima for an infinite family of filling closed curves on a one-holed torus ⋮ The shortest non-simple closed geodesics on hyperbolic surfaces

Cites Work

• Counting curves in hyperbolic surfaces
• Lower bound on the number of non-simple closed geodesics on surfaces
• Geodesics with one self-intersection, and other stories
• Geodesics with bounded intersection number on surfaces are sparsely distributed
• Intersections of curves on surfaces
• Closed geodesics on pairs of pants
• Building hyperbolic metrics suited to closed curves and applications to lifting simply
• Almost simple geodesics on the triply-punctured sphere
• Self-Intersection Numbers of Curves in the Doubly Punctured Plane
• The Stable Neighborhood Theorem and Lengths of Closed Geodesics
• Self-Intersection Numbers of Curves on the Punctured Torus
• Maximal cusps, collars, and systoles in hyperbolic surfaces
• Bounds on the Number of Non-Simple Closed Geodesics on a Surface
• Short closed geodesics with self-intersections
• Universal length bounds for non-simple closed geodesics on hyperbolic surfaces
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