Geodesic
A Remarkable Class of Mannheim-Curves
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 223-228

Voir la notice de l'article provenant de la source Cambridge University Press

It is well known that the determination of a (non-isotropic) curve in the euclidean 3-space with given curvature κ(S) and torsion τ(s), where s represents the arc-length, depends upon the integration of a Riccati equation; and that this can be performed only if a particular integral of the equation is known. 
Blum, Richard. A Remarkable Class of Mannheim-Curves. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 223-228. doi: 10.4153/CMB-1966-030-9
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[4] 4.Encyklopädie der Mathematischen Wissenschaften III/3, p. 246. Google Scholar

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