Structure of the projective group in a pseudo-Riemannian space

We study $n$-dimensional pseudo-Riemannian spaces $V^n(g_{ij})$ 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.