Smarandache Curves Of Null Quaternionic Curves In Minkowski 3 Space
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Smarandache Curves of Null Quaternionic Curves in Minkowski 3-space
In this paper, we define Smarandache curves of null quaternionic curves in the semi-Euclidean space 31E and obtaine that curvatures of null quaternionic curves have some relations for Smarandache curves.
Approximation To The Smarandache Curves in the The Null Cone
In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.
ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2
In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.