- Turkish Journal of Mathematics and Computer Science
- Vol: 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 : 12 | Download : 3
Publication Date : 2018-12-28
Article Type : Research
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