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In this paper we solve the problem of finding integrals of equationsdetermining the Killing tensors on an $n$ -dimensional differentiable manifold$M$ endowed with an equiaffine $ SL(n, R) $ -structure and discuss possibleapplications of obtained results in Riemannian geometry.

The Killing tensors on an $n$ -dimensional manifold with $SL(n, R)$-structure