On relaxed elastic lines of second kind on a curved hypersurface in the n-dimensional euclidean space
Journal for Geometry and Graphics, cilt.18, sa.1, ss.81-95, 2014 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 1
- Basım Tarihi: 2014
- Dergi Adı: Journal for Geometry and Graphics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.81-95
- Anahtar Kelimeler: Euler-Lagrange equation, Geodesic, Intrinsic equation, Relaxed elastic line
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
In the present paper, the relaxed elastic lines of second kind on an oriented surface in the Euclidean n-space are defined and the Euler-Lagrange equations are derived. Furthermore, an example is presented. Special emphasis is laid on the particular case when these curves are at the same time geodesic. © 2014 Heldermann Verlag.