Abstract

The present study aims to investigate a family of ruled surfaces that are generated by a constant slope direction vector, following the rectifying and normal planes of a given base curve in Galilean 3-space. By examining the properties of this class of ruled surfaces, a number of important results have been obtained, particularly in the case of special base curves. To further illustrate the obtained results, several examples have been provided as applications, and the constructed surfaces have been graphed.

Keywords: Ruled surface; constant slope; striction curve; developable surface; minimal surface.

MSC: 14H50, 14J26, 53A35

DOI: 10.57016/MV-h1sbhj29

Pages:  1--9