Massive fields with arbitrary integer spin in symmetrical Einstein

We study the propagation of gauge fields with arbitrary integer spins in the symmetrical Einstein space of any dimensionality. We reduce the problem of obtaining a gauge-invariant Lagrangian of integer spin fields in such a background to the algebraic problem of the search for a set of operators with certain features by means of the representation of higher-spin fields in the form of vectors in a pseudo-Hilbert space. We consider such a construction at linear order in the Riemann tensor and scalar curvature and also present an explicit form of interaction Lagrangians and gauge transformations for massive particles of spins 1 and 2 in terms of symmetrical tensor fields.