Generalized relaxed elastic line on an oriented surface

  • G. Özkan (Suleyman Demirel Univ., Isparta, Turkey)
  • A. Yücesan (Suleyman Demirel Univ., Isparta, Turkey)


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.
How to Cite
Özkan, G., and A. Yücesan. “Generalized Relaxed Elastic Line on an Oriented Surface”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 8, Aug. 2012, pp. 1121-3,
Research articles