Evolutes of Meridians and Asymptotics on Pseudospheres

Evolutes of Meridians and Asymptotics on Pseudospheres

In 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.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-05, Vol.263 (3), p.371-378
1. Verfasser: Kostin, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Mathematics
Mathematics and Statistics
Minkowski space
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Beschreibung
Zusammenfassung:In 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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05933-6