Linear differential equations with constant coefficients on arcwise-connected manifolds

The paper proves a theorem concerning reducibility of a completely integrable linear differential equation on an arcwise-connected manifold to one with constant coefficients.Translated from Matematicheskie Zametki, Vol. 19, No. 5, pp. 773–782, May, 1976.In conclusion, the author thanks S. G. Krein for useful discussions.