Orbifolds in one-dimensional Cayley-Klein spaces

Discrete symmetry groups of motions of the elliptic, hyperbolic and Euclidean lines are described. Orbifolds on these lines, obtained by factorization by the corresponding discrete group, are considered. Orbifolds in the form of segments and circles can be used in Kaluza-Klein models and superstring theory for compactification of extra dimensions.

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Publication Details

Journal
Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
Published
2025-10-09
DOI
https://doi.org/10.19110/1994-5655-2025-6-28-40
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Orbifolds in one-dimensional Cayley-Klein spaces

I. Kostyakov, V. Kuratov
Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
Advanced Differential Geometry Research
article

Orbifolds in one-dimensional Cayley-Klein spaces

I. Kostyakov, V. Kuratov
article en

Abstract

Discrete symmetry groups of motions of the elliptic, hyperbolic and Euclidean lines are described. Orbifolds on these lines, obtained by factorization by the corresponding discrete group, are considered. Orbifolds in the form of segments and circles can be used in Kaluza-Klein models and superstring theory for compactification of extra dimensions.

Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of SciencesVol. 0(6)
Institute of Biology of Komi Scientific Centre (RU)
Ural Branch, Russian Academy of Sciences
Openalex Percentile: Top 80%
Advanced Differential Geometry Research
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