On 3-Transitive Transformation Groups of the Lobachevskii Plane
- Авторлар: Nigmatullina L.1, Sosov E.1
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Мекемелер:
- Lobachevskii Institute of Mathematics and Mechanics
- Шығарылым: Том 39, № 9 (2018)
- Беттер: 1403-1406
- Бөлім: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203452
- DOI: https://doi.org/10.1134/S1995080218090433
- ID: 203452
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
L. Nigmatullina
Lobachevskii Institute of Mathematics and Mechanics
Хат алмасуға жауапты Автор.
Email: leysan.nigmatullina@bk.ru
Ресей, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008
E. Sosov
Lobachevskii Institute of Mathematics and Mechanics
Email: leysan.nigmatullina@bk.ru
Ресей, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008