There is a unique curve called striction curve that is not present on a surface except a ruled
surface. This curve is defined as the shortest distance with the help of a common …

In this paper, we introduce a new vector space, the three-dimensional geometric real vector
space ℝ 3 (G), and a new number system, multiplicative quaternions ℍ (G). We give some …

In this paper, we investigate the problem of the construction of a ruled surface family passing
through the striction curve (c) of a ruled surface φ. We first define ruled surface family with …

In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces.
Moreover, we formulate the striction curves and dralls of these surfaces by use of the …

The spherical indicatrix of a ruled surface is the image curve of its rulings on the sphere S 2.
In this paper, we present Lorentz forces and magnetic curves produced by the Frenet frame …

This paper deals with generalized tube surfaces (GTs) and their geometric properties in
pseudo‐Galilean 3‐space. We classify these surfaces into two types. We firstly compute the …

In this paper, we define and classify split quaternion operators. Then, we show that the split
quaternion product of a split quaternion operator and a curve, which lies on Lorentzian unit …

In this paper, we define three types of 2‐ruled hypersurfaces in the Minkowski 4‐space 𝔼 1
4. We obtain Gaussian and mean curvatures of the 2‐ruled hypersurfaces of type‐1 and type …

In this paper, we introduce generalized circular surfaces, a generalization of generalized
tube surfaces and circular surfaces. Moreover, we define a special dual quaternion by using …

In this study, we show that the quaternion product of quaternionic operator whose scalar part
is a real parameter and vector part is a curve in R 3 and a spherical striction curve …