Generalized relaxed elastic line on an oriented surface

• Datum: 2012
• Hauptverfasser: Özkan, G., Yücesan, A., Озкан, Г., Юкесан, А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2012
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2645
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 the...