Extremal disc packings in compact hyperbolic surfaces

DOI10.1007/s13163-017-0252-3zbMath1401.30047OpenAlexW2771934456MaRDI QIDQ1635701

Ernesto Girondo

Publication date: 1 June 2018

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-017-0252-3

zbMATH Keywords

Riemann surfacestriangle groupsextremal \(k\)-packingsuniform Belyi functions

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Circle packings and discrete conformal geometry (52C26)

Related Items

A brute force computer aided proof of an existence result about extremal hyperbolic surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shimura curves with many uniform dessins
• Arithmetic triangle groups
• Extremal disks and modular surfaces
• Genus of two extremal surfaces: Extremal discs, isometries and Weierstrass points
• Extremal disks and extremal surfaces of genus three
• Dessins d'Enfants on Riemann Surfaces
• Compact Klein surfaces of genus 5 with a unique extremal disc
• COMPACT NON-ORIENTABLE SURFACES OF GENUS 5 WITH EXTREMAL METRIC DISCS
• Equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces
• Compact non-orientable hyperbolic surfaces with an extremal metric disc
• Compact non-orientable surfaces of genus 4 with extremal metric discs
• Packing of spheres in spaces of constant curvature
• On extremal discs inside compact hyperbolic surfaces
• On extremal Riemann surfaces and their uniformizing fuchsian groups
• Torsion free subgroups of Fuchsian groups and tessellations of surfaces