All homogeneous spaces G/K (G is a simple connected compact Lie group, K a connected closed subgroup) are enumerated for which arbitrary Hamiltonian flows on T*(G/K) with G-invariant Hamiltonians are integrable in the class of Noether integrals and G-invariant functions.
@article{bwmeta1.element.bwnjournal-article-bcpv51z1p231bwm,
author = {Mykytyuk, Ihor and Stepin, Anatoly},
title = {Classification of almost spherical pairs of compact simple Lie groups},
journal = {Banach Center Publications},
volume = {51},
year = {2000},
pages = {231-241},
zbl = {0970.22013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p231bwm}
}
Mykytyuk, Ihor; Stepin, Anatoly. Classification of almost spherical pairs of compact simple Lie groups. Banach Center Publications, Tome 51 (2000) pp. 231-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv51z1p231bwm/
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