2018, no. 4

### ON PROJECTIVE MOTIONS OF 5-DIMENSIONAL SPACES I. $$H$$-SPACES OF THE TYPE {32}

#### Aminova A.V., Khakimov D.R.

In this paper five-dimensional $$h$$-spaces of the type {32} are determined using the method of skew-normal frame (Aminova) and necessary and sufficient conditions for the existence of projective motions of the same type are established.

Keywords: five-dimensional pseudo-Riemannian manifold, projective motion, $$h$$-space of the type {32}.

UDC: 514.763: 514.8

PACS: 11.10.Kk

DOI: 10.17238/issn2226-8812.2018.4.21-31

Aminova A.V., Khakimov D.R. On projective motions of 5-dimensional spaces I. $$h$$-spaces of the type {32}. Space, Time and Fundamental Interactions, 2018, no. 4, pp. 21-31.