Hyperbolic surfaces with long systoles that form a pants decomposition

DOI10.1090/proc/13806zbMath1387.30061arXiv1609.00632OpenAlexW2963565910MaRDI QIDQ3130828

Bram Petri

Publication date: 29 January 2018

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

Full work available at URL: https://arxiv.org/abs/1609.00632

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) General geometric structures on low-dimensional manifolds (57M50)

Related Items (6)

Local maxima of the systole function ⋮ Systoles of hyperbolic surfaces with big cyclic symmetry ⋮ Small eigenvalues of closed Riemann surfaces for large genus ⋮ On the minimal diameter of closed hyperbolic surfaces ⋮ The maximal systole of hyperbolic surfaces with maximal \(S^3\)-extendable abelian symmetry ⋮ Hyperbolic manifolds with a large number of systoles

Cites Work

• Unnamed Item
• Hyperbolic polygons and simple closed geodesics
• Systoles and kissing numbers of finite area hyperbolic surfaces
• Riemannsche Flächen mit großer Kragenweite
• On the period matrix of a Riemann surface of large genus (with an appendix by J. H. Conway and N. J. A. Sloane)
• Congruence subgroups and maximal Riemann surfaces
• Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups
• Graphs of large girth and surfaces of large systole
• Geometry of Riemann surfaces based on closed geodesics
• Simple closed geodesics and the study of Teichm\"uller spaces
• Geometry and spectra of compact Riemann surfaces

This page was built for publication: Hyperbolic surfaces with long systoles that form a pants decomposition