Short closed geodesics on cusped hyperbolic surfaces
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Publication:2160170
DOI10.2140/pjm.2022.318.127zbMath1496.32014arXiv1912.09967OpenAlexW4289528287WikidataQ115497254 ScholiaQ115497254MaRDI QIDQ2160170
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
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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