Special Ruled Surface with Frenet Frame in Euclidean 3-Space

Soukaina Ouarab; Amina Ouazzani Chahdi; Academic Editor: Youssef EL FOUTAYENI

Research Communication | Open Access
Volume 2019 | Communication ID 24

Special Ruled Surface with Frenet Frame in Euclidean 3-Space

Soukaina Ouarab, Amina Ouazzani Chahdi

Academic Editor: Youssef EL FOUTAYENI

Received	Accepted	Published
Dec 19, 2018	Jan 31, 2019	Mar 01, 2019

Abstract: In differential geometry of curves and surfaces [4], a ruled surface represents one of the most fascinating topics in surface theory, it is defined by choosing a curve which called base curve and a line along that curve (ruling). An important number of researchers in many papers have studied one of the moving frames of its base curve. In this paper, we consider Striction curve of a non-cylindrical ruled surface as base curve of the ruled surface whose rulings are linear combinations of Frenet frame vectors of the first ruled surface. We investigate the most important characteristic ...