In this paper, we study slant helix (or $\overset{ \_}{ \xi}_{ 2}$-helix) and Darboux helix in Myller configuration $M$. We show that a curve in $M$ is a slant helix if and only if it is a Darboux helix. We give the alternative frame of a curve in $M$. Furthermore, we obtain the differential equations characterizing the curves in $M$ by means of both Frenet type frame and alternative frame.

Categories: math.GM

Slant helices and Darboux helices in Myller Configuration