Generalized relaxed elastic line on an oriented surface
UKRAINIAN MATHEMATICAL JOURNAL, cilt.64, sa.8, ss.1277-1289, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 64 Sayı: 8
- Basım Tarihi: 2013
- Doi Numarası: 10.1007/s11253-013-0715-8
- Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1277-1289
- Süleyman Demirel Üniversitesi Adresli: Evet
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.