Short closed geodesics with self-intersections

DOI10.1017/S030500411900032XzbMath1477.30035arXiv1609.00217OpenAlexW2969600289WikidataQ126289201 ScholiaQ126289201MaRDI QIDQ4958674

Viveka Erlandsson, Hugo Parlier

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00217

zbMATH Keywords

closed geodesicshyperbolic surfaces

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Geodesics in global differential geometry (53C22)

Related Items (3)

Short closed geodesics on cusped hyperbolic surfaces ⋮ 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

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• Self-Intersection Numbers of Curves on the Punctured Torus
• Bounds on the Number of Non-Simple Closed Geodesics on a Surface
• Universal length bounds for non-simple closed geodesics on hyperbolic surfaces
• Geometry and spectra of compact Riemann surfaces

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