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The Frenet Vector Fields and the Curvatures of the Natural Lift Curve

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Abstract:

In this paper, Frenet vector fields, curvature and torsion of the natural lift curve of a given curve is calculated by using the angle between Darboux vector field and the binormal vector field of the given curve in 3/1 . Also, a similar calculation is made in 3/1 considering timelike or spacelike Darboux vector field.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 2)
Pages:
38-43
DOI:
10.18052/www.scipress.com/BSMaSS.2.38
Citation:
E. Ergün et al., "The Frenet Vector Fields and the Curvatures of the Natural Lift Curve", The Bulletin of Society for Mathematical Services and Standards, Vol. 2, pp. 38-43, 2012
Online since:
Jun 2012
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