Journal for Geometry and Graphics, vol.18, no.1, pp.81-95, 2014 (Scopus)
Article / Article
Journal for Geometry and Graphics
Euler-Lagrange equation, Geodesic, Intrinsic equation, Relaxed elastic line
Ondokuz Mayıs University Affiliated:
In the present paper, the relaxed elastic lines of second kind on an oriented surface in the Euclidean n-space are defined and the Euler-Lagrange equations are derived. Furthermore, an example is presented. Special emphasis is laid on the particular case when these curves are at the same time geodesic. © 2014 Heldermann Verlag.