A Remarkable Class of Mannheim-Curves
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 223-228
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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
@article{10_4153_CMB_1966_030_9,
author = {Blum, Richard},
title = {A {Remarkable} {Class} of {Mannheim-Curves}},
journal = {Canadian mathematical bulletin},
pages = {223--228},
year = {1966},
volume = {9},
number = {2},
doi = {10.4153/CMB-1966-030-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-030-9/}
}
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