| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2018 |
| Язык | английский |
|
Сосов Евгений Николаевич, автор
|
| Библиографическое описание на языке оригинала |
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. |
| 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.
|
| Ключевые слова |
Transformation group, Lobachevskii plane, Beltrami-Klein model,
Poincare ́ model, 3-transitivity.
|
| Название журнала |
Lobachevskii Journal of Mathematics
|
| URL |
https://link.springer.com/article/10.1134/S1995080218090433 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=191550 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Сосов Евгений Николаевич |
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/?p_id=191550 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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