Inversion in Pseudo-Euclidean Geometry

The notions of a circular and a totally circular curve in the pseudo-euclidean geometry, together with a notion of a curve circularity-type are introduced, and based on that, a complete classification of regular curves with respect to the general pseudoeuclidean group of similarities G4 is given. Also, an automorphic inversion in PE plane is defined and by using it all conditions for generating the circular cubics of certain degree and type have been found.