For citation:
Romakina L. N. Finite Closed 3(4)-Loops of Extended Hyperbolic Plane. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, vol. 10, iss. 3, pp. 14-26. DOI: 10.18500/1816-9791-2010-10-3-14-26
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
15.07.2010
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Russian
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UDC:
514.133+514.1
Finite Closed 3(4)-Loops of Extended Hyperbolic Plane
Autors:
Romakina Lyudmila Nikolaevna, Saratov State University
Abstract:
This article considers finite closed n-loops of the extended hyperbolic plane H2. The paper deals with topological and metric properties of the finite closed 3(4)-loops. Pasha statement analogues have been also obtained. We proved the existence of two types 4-loops and convexity of the plain 4-loop.
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References:
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- Ромакина, Л.Н. Геометрии коевклидовой и копсевдоевклидовой плоскостей / Л.Н. Ромакина. – Саратов: Научная книга, 2008. – 279 с.
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