Length minima for an infinite family of filling closed curves on a one-holed torus

DOI10.1007/s10711-023-00856-1arXiv2210.11789OpenAlexW4387904979MaRDI QIDQ6082241

No author found.

Publication date: 3 November 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.11789

zbMATH Keywords

relative Teichmüller spacefilling closed curvehyperbolic one-holed torusminimum of geodesic length function

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• On Marden's universal constant of Fuchsian groups. II
• Traces, lengths, and simplicity for loops on surfaces
• Short closed geodesics on cusped hyperbolic surfaces
• The Stable Neighborhood Theorem and Lengths of Closed Geodesics
• Self-Intersection Numbers of Curves on the Punctured Torus
• Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
• Short closed geodesics with self-intersections
• Universal length bounds for non-simple closed geodesics on hyperbolic surfaces
• Geometry and spectra of compact Riemann surfaces

This page was built for publication: Length minima for an infinite family of filling closed curves on a one-holed torus