Extended Darboux frame field in Minkowski space-time $\mathbb{E}_1^4$
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DOI:
https://doi.org/10.26637/MJM0603/0002Abstract
In this paper, we extend the Darboux frame field along a non-null curve lying on an orientable non-null hypersurface into Minkowski space-time $\mathbb{E}_1^4$ in two cases which the curvature vector and the normal vector of the hypersurface are linearly independent or dependent. Then the normal curvature, the geodesic curvature(s), and the geodesic torsion(s) of the hypersurface are given when the curve lying on the hypersurface is an asymptotic or geodesic curve.
Keywords:
Curves on hypersurface, , Darboux frame field, curvatures,, Minkowski space-time.Mathematics Subject Classification:
Mathematics- Pages: 473-477
- Date Published: 01-07-2018
- Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)
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