In this paper, we compute the Frenet vectors and the curvatures of the spacelike intersection curve of three spacelike hypersurfaces given by their parametric equations in four-dimensional Minkowski space E 1 .

The geometry of curves and surfaces plays a very important role in computer-aided geometric design (CAGD). goal this paper is to construct the Frenet frames trigonometric B\'ezier Euclidean $ 2 3- $space. Especially, curvatures these are investigated at beginning ending points.

Examples of the use of Frenet curvature-driven motion of vortex unstretched filamentary diffusion processes in plasmas are investigated. The first example addresses the unstretched filaments which are embedded in a steady plasma flow. The particle number density of a weakly ionized plasma is shown to be proportional to the total Frenet curvature. The particle number does not decays in plasma al...

In this paper, the tangent, binormal, normal and unit Darboux vectors of the dual curve on the one–parameter dual spherical motion are obtained with respect to a unit dual orthogonal frame for dual 3–space D.

We present a new method for finding the Frenet vectors and the curvatures of the transversal intersection curve of three implicit hypersurfaces by extending the method of Willmore into four-dimensional Euclidean space. AMS subject classifications: 53A04, 53A05