Geodesic
On Relaxed Elastic Lines of Second Kind on a Curved Hypersurface in the n-Dimensional Euclidean Space
Journal for geometry and graphics, Tome 18 (2014) no. 1, pp. 81-95.

Voir la notice de l'article provenant de la source Heldermann Verlag

We define the relaxed elastic lines of second kind on an oriented surface in the Euclidean n-space and derive the Euler-Lagrange equations. Furthermore, an example is presented. Special emphasis is laid on the particular case when these curves are at the same time geodesic.
Classification : 53A07, 49Q20, 53C22
Mots-clés : Relaxed elastic line, geodesic curves, intrinsic equation, Euler-Lagrange equation 
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     title = {On {Relaxed} {Elastic} {Lines} of {Second} {Kind} on a {Curved} {Hypersurface} in the {n-Dimensional} {Euclidean} {Space}},
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A. Sarioglugil; A. Tutar; H. Stachel . On Relaxed Elastic Lines of Second Kind on a Curved Hypersurface in the n-Dimensional Euclidean Space. Journal for geometry and graphics, Tome 18 (2014) no. 1, pp. 81-95. http://geodesic.mathdoc.fr/item/JGG_2014_18_1_JGG_2014_18_1_a6/