$h$-spaces of type $\{2,2,1\}$ having constant curvature

In order to find projective transformations of a pseudo-Riemannian manifold one can use A. V. Aminov's method of skew-orthogonal frame [1]. This method makes it possible to reduce the problem to solving Eisenhart equations and generalized Killing equations. In the present paper we integrate the Eisenhart equations for 5-dimensional $h$-spaces of type $\{2,1,1\}$.