Geodesic
Homogeneous spaces with integrable $G$-invariant Hamiltonian flows
Izvestiya. Mathematics , Tome 23 (1984) no. 3, pp. 511-523

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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. 
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     author = {I. V. Mykytyuk},
     title = {Homogeneous spaces with integrable $G$-invariant {Hamiltonian} flows},
     journal = {Izvestiya. Mathematics },
     pages = {511--523},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1984_23_3_a5/}
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I. V. Mykytyuk. Homogeneous spaces with integrable $G$-invariant Hamiltonian flows. Izvestiya. Mathematics , Tome 23 (1984) no. 3, pp. 511-523. http://geodesic.mathdoc.fr/item/IM2_1984_23_3_a5/