On the properties of the projective lie algebras of rigid h-spaces h<inf>32</inf> of the type {32}

Abstract

© 2020, Kazan Federal University. All rights reserved. The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h-space H32 of non-constant curvature was found. Necessary and sufficient conditions were established for the existence of a non-homothetic projective motion in the h-space H32 of non-constant curvature, and, as a consequence, the structure of the non-homothetic projective Lie algebra in this space was determined.