Relaxed elastic line on a curved pseudo-hypersurface in pseudo-Euclidean spaces
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.315, sa.1, ss.367-378, 2006 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 315 Sayı: 1
- Basım Tarihi: 2006
- Doi Numarası: 10.1016/j.jmaa.2005.05.051
- Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.367-378
- Anahtar Kelimeler: relaxed elastic line, elasticity problem, pseudo-Euclidean spaces, pseudo-hypersurfaces, geodesics, Euler-Lagrange equations
- Akdeniz Üniversitesi Adresli: Hayır
Özet
In this work, we derive the Euler-Lagrange equation for an elastic line which is lying on a pseudo-hypersurface in pseudo-Euclidean spaces E-v(n). Following this, we check the solutions which depend on the boundary conditions whether they are geodesic on a pseudo-hypersurface or not. The relaxed elastic line on a pseudo-hyperplane, a pseudo-hypersphere, and pseudo-hyperbolic space is a geodesic. However, the relaxed elastic line on a pseudo-hypercylinder, is a space-like geodesic. (c) 2005 Elsevier Inc. All rights reserved.