Relaxed Hyperelastic Curves on a Non-Degenerate Surface
MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.11, sa.4, ss.1241-1250, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 4
- Basım Tarihi: 2014
- Doi Numarası: 10.1007/s00009-013-0364-z
- Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1241-1250
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We study the variational problem belonging to a relaxed hyperelastic curve for non-null curve on a non-degenerate surface in Minkowski three-space . Firstly, we derive the intrinsic equations for a relaxed hyperelastic curve and we give the necessary condition for being relaxed hyperelastic curve of any non-null geodesic on the surface in . Then, we examine this formulation on non-null geodesics of pseudo-plane, pseudo-sphere , hyperbolic space and pseudo-cylinder C-1(2)(r).