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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 169, Pages 23–30
DOI: https://doi.org/10.36535/0233-6723-2019-169-23-30 (Mi into511) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Evolutes of meridians and asymptotic on pseudospheres

A. V. Kostin

Elabuga Branch of Kazan (Volga Region) Federal University
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DOI: https://doi.org/10.36535/0233-6723-2019-169-23-30
Abstract: In this work, some general properties of asymptotic lines on pseudospheres of the Euclidean and Minkowski space 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.
Document Type: Article
UDC: 514.1
MSC: 51M10, 53C50
Language: Russian
Citation: A. V. Kostin, “Evolutes of meridians and asymptotic on pseudospheres”, Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 169, VINITI, Moscow, 2019, 23–30
Citation in format AMSBIB
\Bibitem{Kos19}
\by A.~V.~Kostin
\paper Evolutes of meridians and asymptotic on pseudospheres
\inbook Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25--28, 2018. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 169
\pages 23--30
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into511}
\crossref{https://doi.org/10.36535/0233-6723-2019-169-23-30}
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    • This publication is cited in the following 2 articles:
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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