KFU. Card publication. Tammes Problem and Contact Number for Spheres in Spaces of Constant Curvature

KAZAN
FEDERAL UNIVERSITY

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TAMMES PROBLEM AND CONTACT NUMBER FOR SPHERES IN SPACES OF CONSTANT CURVATURE

Form of presentation

Articles in international journals and collections

Year of publication

2023

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Authors, employees of KFU

Kostin Andrey Viktorovich, author

Kostina Natalya Nikolaevna, author

Bibliographic description in the original language

Kostin, A.V., Kostina, N.N. Tammes Problem and Contact Number for Spheres in Spaces of Constant Curvature. Journal of Mathematical Sciences - 2023 - Vol. 277, No. 5. - 750-755. https://doi.org/10.1007/s10958-023-06882-4

Annotation

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.

Keywords

space of constant curvature, contact number, Tammes problem

The name of the journal

Journal of Mathematical Sciences

URL

https://link.springer.com/article/10.1007/s10958-023-06882-4

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=293005&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kostin Andrey Viktorovich	ru_RU
dc.contributor.author	Kostina Natalya Nikolaevna	ru_RU
dc.date.accessioned	2023-01-01T00:00:00Z	ru_RU
dc.date.available	2023-01-01T00:00:00Z	ru_RU
dc.date.issued	2023	ru_RU
dc.identifier.citation	Kostin, A.V., Kostina, N.N. Tammes Problem and Contact Number for Spheres in Spaces of Constant Curvature. Journal of Mathematical Sciences - 2023 - Vol. 277, No. 5. - 750-755. https://doi.org/10.1007/s10958-023-06882-4	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=293005&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Sciences	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	space of constant curvature	ru_RU
dc.subject	contact number	ru_RU
dc.subject	Tammes problem	ru_RU
dc.title	Tammes Problem and Contact Number for Spheres in Spaces of Constant Curvature	ru_RU
dc.type	Articles in international journals and collections	ru_RU