In this paper, we construct and study a special ruled surface with the alternative moving
frame of its base curve in euclidean 3-space. We investigate the main characteristic …

In this paper, we construct and study special ruled surfaces, whose rulings are linear
combinations of Darboux frame vectors of its base curve relative to an arbitrary regular …

In this article, firstly, it is aimed to introduce the ruled surfaces, which is generated by quasi-
vectors, by using the relationship between the Frenet frame and the quasi-frame, the quasi …

In this work, we study new families of ruled surfaces generated by q-frame vectors called
quasi vectors in 3-dimensional Euclidean space. First, the characterizations of these ruled …

In this study, the spacelike parallel ruled surfaces with Darboux frame are introduced in
Minkowski 3-space. Then some characteristic properties of the spacelike parallel ruled …

In differential geometry of curves and surfaces, a ruled surface represents one of the most
fascinating topics in surface theory, it is defined by choosing a curve which called base …

In this study, we consider the concept of Mannheim partner trajectories related to the
Positional Adapted Frame on Regular Surfaces (PAFORS) for the particles moving on the …

A ruled surface is formed by moving a straight line (as a generator) along a base curve. If the
straight line's direction remains constant in a fixed coordinate system, the resulting surface …

In this paper, firstly, a summary of certain results related to the differential geometry of ruled
surfaces is provided. Subsequently, the signature curve for ruled surfaces in Euclidean 3 …

In this paper, we focus on a rare curve,“The pancake curve” which was named by Robert
Ferréol. We investigate the Darboux frame of the curve, and we calculate the curvatures …