Abstract
In this paper, the curvature and the torsion of Smarandache curves obtained by the vectors of the Bertrand partner curve are calculated. These values are expressed depending upon the curve. Besides, we illustrate example with our main results.
Highlights
T B2 curves in the space E41 [13]
Special Smarandache curves belonging to α∗ curve such as T ∗N ∗, N ∗B∗, T ∗B∗ and T ∗N ∗B∗ drawn by Frenet frame are defined and some related results are given
We find parametrization of Smarandache curves for tangent, principal normal and binormal of α∗ curve
Summary
T B2 curves in the space E41 [13]. Ahmad T.Ali studied some special Smarandache curves in the Euclidean space. The Frenet invariants of the T ∗N ∗ - Smarandache curve are given as following;
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