KFU. Card publication. Evolutes of Meridians and Asymptotics on Pseudospheres

KAZAN
FEDERAL UNIVERSITY

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- 中文
- ES

EVOLUTES OF MERIDIANS AND ASYMPTOTICS ON PSEUDOSPHERES

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

русский

Authors, employees of KFU

Kostin Andrey Viktorovich, author

Bibliographic description in the original language

Kostin, A.V. Evolutes of Meridians and Asymptotics on Pseudospheres. J Math Sci 263, 371–378 (2022). https://doi.org/10.1007/s10958-022-05933-6

Annotation

n this work, some general properties of asymptotic lines on pseudospheres of the Euclidean and Minkowski spaces are studied and relationships between asymptotic lines and, respectively, Euclidean and pseudo-Euclidean evolutes of meridians on pseudospheres are found.

Keywords

pseudosphere, asymptotic line, evolute, Lobachevsky plane, de Sitter plane

The name of the journal

Journal of Mathematical Sciences

URL

https://link.springer.com/article/10.1007/s10958-022-05933-6

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

https://repository.kpfu.ru/eng/?p_id=268672&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kostin Andrey Viktorovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Kostin, A.V. Evolutes of Meridians and Asymptotics on Pseudospheres. J Math Sci 263, 371–378 (2022). https://doi.org/10.1007/s10958-022-05933-6	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=268672&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Sciences	ru_RU
dc.description.abstract	n this work, some general properties of asymptotic lines on pseudospheres of the Euclidean and Minkowski spaces are studied and relationships between asymptotic lines and, respectively, Euclidean and pseudo-Euclidean evolutes of meridians on pseudospheres are found.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	pseudosphere	ru_RU
dc.subject	asymptotic line	ru_RU
dc.subject	evolute	ru_RU
dc.subject	Lobachevsky plane	ru_RU
dc.subject	de Sitter plane	ru_RU
dc.title	Evolutes of Meridians and Asymptotics on Pseudospheres	ru_RU
dc.type	Articles in international journals and collections	ru_RU