Special questions of Galileo's theory of curves of 4-dimensional spacetime

The study of Galileo's 4-dimensional spacetime curves continues. The dependence between the curves of the 4-dimensional Galilean space and the curves of the 3-dimensional Euclidean space is investigated. The relations between their curvatures are obtained. The issues of flattening curves are considered. Curves with constant curvatures are found. It turned out that the condition of constancy of all curvatures of the curve of the 4-dimensional Galilean space implies the embeddability of the curve in the 3-dimensional subspace.