Some Special Helices in Myller Configuration

Abstract

Some new kinds of special curves called $\stackrel{\_}{\xi }$-helix, $\overset{% \_}ξ_{1}$-helix, $\stackrel{\_}{\mu }$-helix, $\stackrel{\_}{\nu }$-helix and $W_k$-Darboux helices $(k\in \left\{n,r,o\right\})$ in the Myller configuration $M(C,\stackrel{\_}{\xi },\pi )$ are defined and studied. The necessary and sufficient conditions for these curves are obtained, also the axes of those helices are given and the relationships between them are introduced.

12 pages