KFU. Card publication. On Dini Helicoids in the Minkowski Space

KAZAN
FEDERAL UNIVERSITY

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ON DINI HELICOIDS IN THE MINKOWSKI SPACE

Form of presentation

Articles in international journals and collections

Year of publication

2023

Язык

русский

Authors, employees of KFU

Kostin Andrey Viktorovich, author

Bibliographic description in the original language

Kostin A.V. On Dini Helicoids in the Minkowski Space. / A.V. Kostin // Journal of Mathematical Sciences. - 2023.- Vol. 276. №4. - 517-524

Annotation

The Dini helicoid is a surface obtained by a screw motion of the tractrix. In this paper, we consider various analogs of the Dini helicoid in the three-dimensional Minkowski space. As profiles, we take nontrivial pseudo-Euclidean analogs of the tractrix different from pseudo-Euclidean circles. We prove that on analogs of the Dini helicoid in a the pseudo-Euclidean space, one of the following metrics is induced: the metric of the Lobachevsky plane, the metric of the de Sitter plane, or a degenerate metric.

Keywords

Lobachevsky plane, de Sitter plane, Dini helicoid

The name of the journal

Journal of Mathematical Sciences

URL

https://link.springer.com/article/10.1007/s10958-023-06772-9

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

https://repository.kpfu.ru/eng/?p_id=290527&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kostin Andrey Viktorovich	ru_RU
dc.date.accessioned	2023-01-01T00:00:00Z	ru_RU
dc.date.available	2023-01-01T00:00:00Z	ru_RU
dc.date.issued	2023	ru_RU
dc.identifier.citation	Kostin A.V. On Dini Helicoids in the Minkowski Space. / A.V. Kostin // Journal of Mathematical Sciences. - 2023.- Vol. 276. №4. - 517-524	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=290527&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Sciences	ru_RU
dc.description.abstract	The Dini helicoid is a surface obtained by a screw motion of the tractrix. In this paper, we consider various analogs of the Dini helicoid in the three-dimensional Minkowski space. As profiles, we take nontrivial pseudo-Euclidean analogs of the tractrix different from pseudo-Euclidean circles. We prove that on analogs of the Dini helicoid in a the pseudo-Euclidean space, one of the following metrics is induced: the metric of the Lobachevsky plane, the metric of the de Sitter plane, or a degenerate metric.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Lobachevsky plane	ru_RU
dc.subject	de Sitter plane	ru_RU
dc.subject	Dini helicoid	ru_RU
dc.title	On Dini Helicoids in the Minkowski Space	ru_RU
dc.type	Articles in international journals and collections	ru_RU