Quaternionic and Dual Quaternionic Darboux Ruled Surfaces

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Turkish Journal of Mathematics and Computer Science
Volume:13 Issue:1
Quaternionic and Dual Quaternionic Darboux Ruled Surfaces

Quaternionic and Dual Quaternionic Darboux Ruled Surfaces

Pages : 106-114

View : 13 | Download : 5

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of dual spatial quaternions and dual integral invariants of the ruled surface are obtained.
Keywords : Darboux vector, distribution parameter, dual spherical curve, dual angle of pitch, quaternion, spatial quaternion, ruled surface

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