Tammes Problem and Contact Number for Spheres in Spaces of Constant Curvature

In this paper, we consider the problem on the contact number of a sphere in a three-dimensional hyperbolic space and a three-dimensional spherical space. This problem is equivalent to the Tammes problem on the maximal value of minimums of spherical distances for an N -point set on the unit sphere of...

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Published inJournal of mathematical sciences (New York, N.Y.) Vol. 277; no. 5; pp. 750 - 755
Main Authors Kostin, A. V., Kostina, N. N.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 22.12.2023
Springer
Springer Nature B.V
Subjects
Euclidean geometry
Hyperbolic coordinates
Mathematics
Mathematics and Statistics
space of constant curvature
Tammes problem
53A35
contact number
52B99
Online AccessGet full text
ISSN1072-3374
1573-8795
DOI10.1007/s10958-023-06882-4

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Summary:In this paper, we consider the problem on the contact number of a sphere in a three-dimensional hyperbolic space and a three-dimensional spherical space. This problem is equivalent to the Tammes problem on the maximal value of minimums of spherical distances for an N -point set on the unit sphere of the Euclidean space.
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06882-4