Structure of the Projective Group in A Pseudo-Riemannian Space

Abstract

We study n-dimensional pseudo-Riemannian spaces Vⁿ(g_ij) with an arbitrary signature that admit projective motions, i.e., groups of continuous transformations preserving geodesics. In particular, we find the metric of a pseudo-Riemannian space of special type and establish important projective-group properties of this space.