In this work, we give some characterizations of spacelike curve with spacelike principal normal vector according to type-2 Bishop frame in Minkowski 3-space E3 1 . Also, we obtain position vector of spacelike curves on ...

In this paper, we deal with the differential geometric properties of robot end-effector's motion by using the curvature theory of timelike ruled surfaces with timelike directrix.

This study investigates classical differential geometry of isotropic curves in the complex space C-3. First, we deal with spherical images of isotropic curves, and then obtain some results regarding these curves. Therefore, ...

In this study, using Darboux vector of an isotropic curve given by Semin in [1], we give a characterization of isotropic Darboux helices in the complex space C-3. We show that an isotropic curve to be a Darboux helix has ...

Euclidean and non-Euclidean geometries can be considered as spaces that are invariant under a given group of transformations [8]. The geometry established by this approach is called Cayley-Klein geometry. Galilean 4-space ...

In this work, we define twisted surfaces in Galilean 3-space. In order to construct these surfaces, a planar curve is subjected to two simultaneous rotations, possibly with different rotation speeds. The existence of ...

We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(alpha)e(2)(alpha)e(3)(alpha)-isotropic Smarandache curve, and the e(1)(alpha)e(2)(alpha)e(4)(alpha)-isotropic Smarandache ...

In this study, we investigate the tangent, principal normal and trinormal spherical images of a W-partially null curve in pseudohyperbolic space H-0(3) of Minkowski space time E-1(4). The tangent, principal normal spherical ...

In this study, we construct timelike ruled surfaces whose Disteli-axis is constant in Minkowski 3-space E-1(3). Then we attain a general system characterizing these surfaces, and also give necessary and sufficient conditions ...

In this study, we examine k-type pseudo null slant helices due to the Bishop frame, where k is an element of{0, 1, 2}. There are two different cases of the Bishop frame of a pseudo null curve related to the Bishop curvatures. ...