KFU. Card publication. On 3-Transitive Transformation Groups of the Lobachevskii Plane

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

ON 3-TRANSITIVE TRANSFORMATION GROUPS OF THE LOBACHEVSKII PLANE

Form of presentation

Articles in international journals and collections

Year of publication

2018

Язык

английский

Authors, employees of KFU

Sosov Evgeniy Nikolaevich, author

Bibliographic description in the original language

Nigmatullina L. I. On 3-Transitive Transformation Groups of the Lobachevskii Plane / L. I. Nigmatullina, E. N. Sosov // Lobachevskii Journal of Mathematics, 2018, Vol. 39, No. 9, pp. 1221–1224.

Annotation

In this paper, we consider three transformation groups of the Lobachevskii plane that are generated by the group of all motions and one-parameter transformation groups, which preserve an elliptic, a hyperbolic or a parabolic bundle of straight lines of this plane, respectively. It is proved that each of these groups acts 3-transitively on the Lobachevskii plane. The transformation groups and their generalizations can be applied an research of quasi-conformal mappings of the Lobachevskii space, in the special theory of relativity and in the fractal geometry.

Keywords

Transformation group, Lobachevskii plane, Beltrami-Klein model, Poincare ́ model, 3-transitivity.

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://link.springer.com/article/10.1134/S1995080218090433

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

https://repository.kpfu.ru/eng/?p_id=191550&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Sosov Evgeniy Nikolaevich	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Nigmatullina L. I. On 3-Transitive Transformation Groups of the Lobachevskii Plane / L. I. Nigmatullina, E. N. Sosov // Lobachevskii Journal of Mathematics, 2018, Vol. 39, No. 9, pp. 1221–1224.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=191550&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	In this paper, we consider three transformation groups of the Lobachevskii plane that are generated by the group of all motions and one-parameter transformation groups, which preserve an elliptic, a hyperbolic or a parabolic bundle of straight lines of this plane, respectively. It is proved that each of these groups acts 3-transitively on the Lobachevskii plane. The transformation groups and their generalizations can be applied an research of quasi-conformal mappings of the Lobachevskii space, in the special theory of relativity and in the fractal geometry.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Transformation group	ru_RU
dc.subject	Lobachevskii plane	ru_RU
dc.subject	Beltrami-Klein model	ru_RU
dc.subject	Poincare ́ model	ru_RU
dc.subject	3-transitivity.	ru_RU
dc.title	On 3-Transitive Transformation Groups of the Lobachevskii Plane	ru_RU
dc.type	Articles in international journals and collections	ru_RU