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Completely integrable equations on homogeneous spaces

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Abstract

Completely integrable linear Pfaff systems are investigated, and some of their generalizations to manifolds M=G/Γ, where G is a Lie group and Γ 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.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    A. L. Onishchik

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  1. A. L. Onishchik
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Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 365–373, April, 1971.

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Onishchik, A.L. Completely integrable equations on homogeneous spaces. Mathematical Notes of the Academy of Sciences of the USSR 9, 211–215 (1971). https://doi.org/10.1007/BF01387766

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  • DOI: https://doi.org/10.1007/BF01387766

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