No abstract

In this study, we discuss timelike factorable surfaces in Minkowski  4 space 4 1 IE. We calculate Gaussian and mean curvatures of these surfaces and classify timelike flat and minimal factorable surfaces in Minkowski space-time.

The position vector of a regular curve in Euclidean n-space E n can be written as a linear combination of its parallel transport vectors. In the present study, we characterize such curves in terms of their curvature functions. Further, we obtain some results of constant ratio, T-constant and N-constant type curves in E n .

In this paper, we consider a factorable surface in Euclidean space IE 4 with its curvature ellipse. We classify the origin of the normal space of such a surface according to whether it is hyperbolic, parabolic, or elliptic. Further, we give the necessary and sufficient condition of the factorable surface to become Wintgen ideal surface.

In this paper, we consider unit speed timelike curves in pseudo-Galilean 3-space \mathbb{G}_{3}^{1} as curves whose position vectors can be written as linear combination of their Serret-Frenet vectors. We obtain some results of constant ratio curves and give an example of these curves. Further, we show that there is no T-constant curve and we obtain some results of N-constant type of curves in pseudo-Galilean 3-space \mathbb{G}_{3}^{1}.