Systoles and diameters of hyperbolic surfaces

DOI10.1215/21562261-2022-0040OpenAlexW3103531826MaRDI QIDQ2685119

Vincent Despré, Hugo Parlier, Florent Balacheff

Publication date: 19 February 2023

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

Full work available at URL: https://arxiv.org/abs/2011.03455

zbMATH Keywords

geodesicsdiametersystolehyperbolic surfacessystolic inequalities

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesics in global differential geometry (53C22) Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Über den ersten Eigenwert des Laplace-Operators auf ausgewählten Beispielen kompakter Riemannscher Flächen
• Elementary geometry in hyperbolic space
• On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
• Extremal disks and modular surfaces
• Topological singularities of generalized systoles
• Local maxima of the systole function
• Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups
• On the minimal diameter of closed hyperbolic surfaces
• Geometry of Riemann surfaces based on closed geodesics
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
• Geometry and spectra of compact Riemann surfaces

This page was built for publication: Systoles and diameters of hyperbolic surfaces