On Dual Similar Partner Curves in Dual 3-space
Faik Babadağ *
Department of Mathematics, Art & Science Faculty, Kırıkkale University, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, For dual numbers in dual 3-space ID3, we define the new families of curves which are called dual similar curves in dual 3-space with variable transformation. Then, we prove some theorems and characterizations about this family, we show that a family of dual similar curves are formed the family of curves with wanishing curvatures in dual 3-space ID3.
Keywords: Dual quaternionic frame, similar curve, dual space, vector differential equation.