The Lie-Darboux method in the differential geometry of curves revisited

Autor: Lemus-Basilio, Paola, Rosu, Haret C.
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Popis: A novel formulation of the Lie-Darboux method of obtaining the Riccati equations for the spatial curves in Euclidean three-dimensional space is presented. It leads to two Riccati equations that differ by the sign of torsion. The case of cylindrical helices is used as an illustrative example.
5 pages
Databáze: OpenAIRE