Generalized relaxed elastic line on an oriented surface

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Özkan, G., Yücesan, A.
• Format: Article
• Language: English
• Published: Український математичний журнал 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164442
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalized relaxed elastic line on an oriented surface / G. Özkan A. Yücesan // Український математичний журнал. — 2012. — Т. 64, № 8. — С. 1121-1131. — Бібліогр.: 5 назв. — англ.

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 surfac...