This article is cited in 7 papers

Homogeneous spaces with integrable $G$-invariant Hamiltonian flows

I. V. Mykytyuk


Abstract: Examples are constructed of homogeneous spaces $M$ with semisimple groups of motions $G$ for which all $G$-invariant Hamiltonian systems on $T^*M$ are integrable. Particular examples of such include affine symmetric spaces.
Bibliography: 11 titles.

UDC: 519.46

MSC: Primary 58F07; Secondary 58F05, 70H99, 34C35, 22E60

Received: 05.10.1982

 English version: Mathematics of the USSR-Izvestiya, 1984, 23:3, 511–523

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