Differential Equations for a Space Curve According to the Unit Darboux Vector

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Turkish Journal of Mathematics and Computer Science
Volume:9
Differential Equations for a Space Curve According to the Unit Darboux Vector

Differential Equations for a Space Curve According to the Unit Darboux Vector

Authors : Süleyman ŞENYURT, Osman ÇAKIR

Pages : 91-97

View : 42 | Download : 13

Publication Date : 2018-12-28

Article Type : Research Paper

Abstract :In this work, the differential equation of a differentiable curve is expressed, by making use of Laplace and normal Laplace operators, as a linear combination of the unit Darboux vector defined as C = sinφT + cosφB of that curve. Later, the necessary and sufficient conditions are given for the space curves to be a 1-type Darboux vector.
Keywords : Darboux vector, Laplacian operator

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