Intrinsic Equations for a Relaxed Elastic Line on an Oriented Hypersurface in the Minkowski Space Rn1

We gived the intrinsic equations for a relaxed elastic line on an oriented surface in {\Bbb {R}}13 ([1],[2]). 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}}1n and gived additional results about relaxed elastic lines on various timelike and spacelike hypersurface in the Minkowski space {\Bbb {R}}1n.
Anahtar Kelimeler:

Elastic line, Minkowski space.

Intrinsic Equations for a Relaxed Elastic Line on an Oriented Hypersurface in the Minkowski Space Rn1

We gived the intrinsic equations for a relaxed elastic line on an oriented surface in {\Bbb {R}}13 ([1],[2]). 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}}1n and gived additional results about relaxed elastic lines on various timelike and spacelike hypersurface in the Minkowski space {\Bbb {R}}1n.