Geodesic
Evolutes of meridians and asymptotic on pseudospheres
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 169 (2019), pp. 23-30.

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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. 
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A. V. Kostin. Evolutes of meridians and asymptotic on pseudospheres. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 169 (2019), pp. 23-30. http://geodesic.mathdoc.fr/item/INTO_2019_169_a3/

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