Completely integrable equations on homogeneous spaces

Completely integrable linear Pfaff systems are investigated, and some of their generalizations to manifolds M=G/, where G is a Lie group and is a discrete subgroup of G, are studied. The reducibility of such a system to a system with constant coefficients with respect to a natural parallelism on M is considered.Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 365–373, April, 1971.