Journals / Turkish Journal of Mathematics / 2000 / Cilt: 24 - Sayı: 3
Intrinsic Equations for a Relaxed Elastic Line on an Oriented Hypersurface in the Minkowski Space Rn1
- Pages
- 283–294
- DOI
- —
Abstract
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.
Özet
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.