Hyperbolic 3-manifolds with large kissing number

DOI10.1090/proc/15575zbMath1481.53054arXiv2003.01863OpenAlexW3197171307WikidataQ115546097 ScholiaQ115546097MaRDI QIDQ4957651

Plinio G. P. Murillo, Cayo Dória

Publication date: 9 September 2021

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

Full work available at URL: https://arxiv.org/abs/2003.01863

zbMATH Keywords

kissing numbersystolearithmetic hyperbolic manifold

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Compact Riemann surfaces and uniformization (30F10) Geodesics in global differential geometry (53C22) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (1)

Hyperbolic manifolds with a large number of systoles

Cites Work

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• The arithmetic and geometry of some hyperbolic three manifolds
• Systoles and kissing numbers of finite area hyperbolic surfaces
• Systoles on Riemann surfaces
• Compact Riemann surfaces with many systoles
• Arithmetic Fuchsian groups and the number of systoles
• Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups
• On growth of systole along congruence coverings of Hilbert modular varieties
• Systole and inradius of noncompact hyperbolic manifolds
• Gauss’ class number problem for imaginary quadratic fields
• Modular embeddings and rigidity for Fuchsian groups
• Kissing numbers for surfaces

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