On the striction curves of Mannheim Frenet ruled surfaces in E3

Seyda Kilicoglu, Suleyman Senyurt, Huseyin Kocayigit
2019 New Trends in Mathematical Sciences  
In this paper we consider special ruled surfaces associated to Mannheim curve α and Mannheim partner α * , with k 1 = 0. They are called as Frenet ruled surface (FRS) and Mannheim Frenet ruled surfaces (MFRS), cause of their generators are the renet vector fields of Mannheim curve pair (α, α * ). First we give the tangent vector fields of the striction curves of Mannheim Frenet ruled surfaces in terms of the Frenet apparatus of Mannheim curve α. Further we give only one matrix in which we can
more » ... x in which we can examine sixteen position of these tangent vector fields, such that we can say the conditions of perpendicularity of these tangent vector fields.
doi:10.20852/ntmsci.2019.331 fatcat:czi4uhxlfrgbfiryknmujnddla