Intrinsic Equations for a Relaxed Elastic Line on an Oriented Hypersurface in the Minkowski Space R^n_1

Authors: NEVİN GÜRBÜZ, ALİ GÖRGÜLÜ

Abstract: We gived the intrinsic equations for a relaxed elastic line on an oriented surface in ${\Bbb {R}}_1^3$ ([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 ${\Bbb {R}}_1^n$ and gived additional results about relaxed elastic lines on various timelike and spacelike hypersurface in the Minkowski space ${\Bbb {R}}_1^n$.

Keywords: Elastic line, Minkowski space.

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