KFU. Card publication. On the Real Group Actions Preserving a Pencil of Straight Lines in the Lobachevskii Space

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ON THE REAL GROUP ACTIONS PRESERVING A PENCIL OF STRAIGHT LINES IN THE LOBACHEVSKII SPACE

Form of presentation

Articles in international journals and collections

Year of publication

2019

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Authors, employees of KFU

Sosov Evgeniy Nikolaevich, author

Bibliographic description in the original language

Sosov E. N. On the Real Group Actions Preserving a Pencil of Straight Lines in the Lobachevskii Space // Russian Mathematics. - 2019. - V. 63. - Issue 3. - P. 25–30.

Annotation

In the Beltrami-Klein model of the Lobachevskii space, we obtain explicit expressions for the real multiplicative group actions preserving hyperbolic pencil of straight lines, and for the real additive group actions preserving parabolic pencil of straight lines.

Keywords

Lobachevskii space, Beltrami-Klein model, pencil of straight lines

The name of the journal

Russian Mathematics

URL

https://link.springer.com/article/10.3103%2FS1066369X19030034

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

https://repository.kpfu.ru/eng/?p_id=204849&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Sosov Evgeniy Nikolaevich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Sosov E. N. On the Real Group Actions Preserving a Pencil of Straight Lines in the Lobachevskii Space // Russian Mathematics. - 2019. - V. 63. - Issue 3. - P. 25–30.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=204849&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	In the Beltrami-Klein model of the Lobachevskii space, we obtain explicit expressions for the real multiplicative group actions preserving hyperbolic pencil of straight lines, and for the real additive group actions preserving parabolic pencil of straight lines.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Lobachevskii space	ru_RU
dc.subject	Beltrami-Klein model	ru_RU
dc.subject	pencil of straight lines	ru_RU
dc.title	On the Real Group Actions Preserving a Pencil of Straight Lines in the Lobachevskii Space	ru_RU
dc.type	Articles in international journals and collections	ru_RU