Conjugate words and intersections of geodesics in ℍ2

DOI10.1142/S1793525320500107zbMath1468.53037arXiv1806.04018OpenAlexW2963882630MaRDI QIDQ4997973

Rita Gitik

Publication date: 1 July 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04018

zbMATH Keywords

treefree groupgeodesichyperbolic geometryconjugate words

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geodesics in global differential geometry (53C22) Free nonabelian groups (20E05)

Cites Work

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• Curve shortening makes convex curves circular
• Intersections of curves on surfaces
• Shortening embedded curves
• Shortening curves on surfaces
• A geometric approach to the hyperbolic Jørgensen inequality
• Closed Geodesics on Surfaces
• A characterization of shortest geodesics on surfaces

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