Tammes problem and contact number for spheres in spaces of constant curvature

DOI10.1007/s10958-023-06882-4OpenAlexW4389952324MaRDI QIDQ6190766

A. V. Kostin, N. N. Kostina

Publication date: 6 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06882-4

zbMATH Keywords

space of constant curvaturecontact numberTammes problem

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Non-Euclidean differential geometry (53A35)

Cites Work

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• The strong thirteen spheres problem
• Finite point-sets on S 2 with minimum distance as large as possible
• Arrangement of 24 points on a sphere
• New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
• New lower bounds for contact numbers in small dimensions
• The thirteen spheres: a new proof
• Problem of shadow in the Lobachevskii space
• The problem of thirteen spheres -- a proof for undergraduates
• The kissing number in four dimensions
• The kissing problem in three dimensions
• An interpretation of Casey's theorem and of its hyperbolic analogue
• Über eine Abschätzung des kürzesten Abstandes zweier Punkte eines auf einer Kugelfläche liegenden Punktsystems
• Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?
• Das Problem der dreizehn Kugeln
• The Tammes Problem for N = 14
• New upper bounds for kissing numbers from semidefinite programming
• A survey on the kissing numbers

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