Lie algebras of projective motions of h-spaces H32,2 of type {32}

Abstract

We study 5-dimensional pseudo-Riemannian manifolds in the form of h-spaces H₃₂ of type {32}. A classification of h-spaces H₃₂,₂ is given according to (non-homothetic) Lie algebras of infinitesimal projective and affine transformations, all projectively mobile metrics are found and the dimensions, basis elements and structural equations of the maximal non-homothetic projective Lie algebras operating in them are indicated.