Systoles of a Family of Triangle Surfaces

DOI10.1080/10586458.2002.10504690zbMath1116.53302OpenAlexW2002936618MaRDI QIDQ5472022

Ursula Hamenstädt, Roman Koch

Publication date: 14 June 2006

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1062621219

zbMATH Keywords

maximal surfacesclassification of systolesTriangle surfaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Reflection groups, reflection geometries (51F15)

Related Items (4)

Local maxima of the systole function ⋮ Geometric realizations of cyclic actions on surfaces. II ⋮ Geometric determination of the systole of triangle groups ⋮ The triangle groups \((2,p,q)\) are characterized by their length spectrum.

Cites Work

• Unnamed Item
• The Fenchel-Nielsen deformation
• Riemann surfaces with shortest geodesic of maximal length
• 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

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