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.

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Published

25.08.2012

Issue

Vol. 64 No. 8 (2012)

Section

Research articles

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, https://umj.imath.kiev.ua/index.php/umj/article/view/2645.