Generalized relaxed elastic line on an oriented surface


Yucesan A., Ozkan G.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.64, ss.1277-1289, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 64 Konu: 8
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11253-013-0715-8
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.1277-1289

Özet

We study a relaxed elastic line in the general case on an oriented surface. In particular, we obtain a differential equation with three boundary conditions for a 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.