In this work, we describe a Frenet frame in 4-dimensional Euclidean space and call as parallel transport (PTF). PTF is an alternative approach to defining moving frame. This obtained by rotating the tangent vector first binormal of unit speed curve euler angle then give curvature functions according curve. Also, introduce $(k,m)$-type slant helices 4-Space. Additionally, obtain characterization...

In this paper, we introduce isophote curves on surfaces in Galilean 3-space. Apart from the general concept of isophotes, split our studies into two cases to get axis d lying a surface such that is an isotropic or non-isotropic vector. We also give method compute revolution. Subsequently, show relationship between and slant (general) helices revolution obtained by revolving curve Euclide...

In this paper, we study slant helix using modified orthogonal frame in Minkowski space E31 with timelike, lightlike and spacelike axes. We also a general the Killing vector field axis. Furthermore, give non-trivial example find relations for curvature torsion of f-biharmonic helix.