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

Maxwell equations in Duffin - Kemmer tetrad form, spherical waves in Riemann space S_3