Generalized relaxed elastic line on an oriented surface
Authors
G. Özkan
(Suleyman Demirel Univ., Isparta, Turkey)
A. Yücesan
(Suleyman Demirel Univ., Isparta, Turkey)
Abstract
We study the relaxed elastic line in a more general case on an oriented surface.
In particular, we obtain a differential equation with three boundary conditions for the generalized relaxed elastic line.
Then we analyze the results in a plane, on a sphere, on a cylinder, and on the geodesics of these surfaces.
