SPACE, TIME AND FUNDAMENTAL INTERACTIONS

PROJECTIVE-GROUP PROPERTIES OF $H$-SPACES $H_{5}$ OF TYPE

Aminova A.V., Khakimov D.R.

The five-dimensional $h$-spaces $H_{5}$ of type {5} [3] are studied. Necessary and sufficient conditions for $H_{5}$ to be a space of constant curvature are found. The general solution of the Eisenhart equation in $h$-space $H_{5}$ of non-constant curvature is determined. The conditions for the existence of a non-homothetic projective motion in $H_{5}$ are established, and the structure of a non-homothetic projective Lie algebra in $h$-space $H_{5}$ of type {5} is described.