A. GÖRGÜLÜ, N. GÜRBÜZ

Intrinsic equations for a relaxed elastic line on an oriented hypersurface in the Minkowski space $Bbb{R}^n_1$

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

We gived the intrinsic equations for a relaxed elastic line on an oriented surface In this paper, we derived the intrinsic equations for a relaxed elastic line on an oriented time-like hypersurface and space-like hypersurface in the Minkowski space $Bbb{R}^n_1$ and gived additional results about relaxed elastic lines on various timelike and spacelike hypersurface in the Minkowski space $Bbb{R}^n_1$.

PDF

___

[1] Gürbüz N., Görgülü A., "Intrinsic equations for a relaxed elastic line on an oriented surface in the Minkowski space $Bbb{R}^3_1$," Hadronic Journal 23, 143-163 (2000).
[2] H.K. Nickerson, Manning Gerald., "Intrinsic equations for a relaxed elastic line on an oriented surface", Geometriae Dedicate 27(1988), 127-136.
[3] O'Neill, B., 1983, Semi-Riemannian Geometry, Acedemic Press. New York,London.