Structure of the Projective Group in A Pseudo-Riemannian Space

Research paper by Z. Kh. Zakirova

Indexed on: 07 Aug '18Published on: 01 Jul '18Published in: Theoretical and Mathematical Physics


We study n-dimensional pseudo-Riemannian spaces Vn(gij) 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.