On projective group properties of the $6D$ pseudo-Riemannian space

Abstract

We study the six-dimensional pseudo-Riemannian spaces with two time-like coordinates that admit non-homothetic infinitesimal projective transformations. The metrics are manifestly obtained and the projective group properties are determined. We also find a generic defining of projective motion in the 6-dimensional rigid h-space.

arXiv comment4 pages, talk presented at the "Integrable Systems-2005", Prague, 2005