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NEW CHARACTERIZATIONS FOR SPECIAL CURVES USING THE SPHERICAL INDICATRICES
Author(s) : M. Izid, A. Ouazzani Chahdi, M. Guessous and M. Rihani
Pages : [9] - [26]
Received : August 3, 2013
Pages : [9] - [26]
Received : August 3, 2013
Abstract
In this paper, we determine the relation between the Frenet-Serret invariants of g and the Frenet-Serret curvatures of the spherical indicatrix of tangent vector, principal normal vector, and Bishop Darboux vector to give a new characterization of a general helix and a slant helix. Additionally, the new study of Bishop Darboux spherical indicatrix is given. Finally, we have presented some examples that are computed in detail.
Keywords
spherical indicatrix, general helix, slant helix, Bishop Darboux vector.