  The Duffin-Kemmer form of massless vector field (Maxwell field) is extended
to the case of arbitrary pseudo-Riemannian space-time in accordance with the
tetrad recipe of Tetrode-Weyl-Fock-Ivanenko. In this approach, the Maxwell
equations are solved exactly on the background of simplest static cosmological
model, space of constant curvature of Riemann parameterized by spherical
coordinates. Separation of variables is realized in the basis of Schr\"odinger-
Pauli type, description of angular dependence in electromagnetic filed
functions is given in terms of Wigner D-functions. A discrete frequency
spectrum for electromagnetic modes depending on the curvature radius of space
and three discrete parameters is found. 4-potentials for spherical electro-
magnetic waves of magnetic and electric type have been constructed.
