Geodesic
Integrable geodesic flows on homogeneous spaces
Sbornik. Mathematics, Tome 192 (2001) no. 7, pp. 951-968

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the geodesic flow of a bi-invariant metric on an arbitrary homogeneous space of a compact Lie group is Liouville-integrable in the non-commutative sense. 
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     author = {A. V. Bolsinov and B. Jovanovi\'c},
     title = {Integrable geodesic flows on homogeneous spaces},
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A. V. Bolsinov; B. Jovanović. Integrable geodesic flows on homogeneous spaces. Sbornik. Mathematics, Tome 192 (2001) no. 7, pp. 951-968. http://geodesic.mathdoc.fr/item/SM_2001_192_7_a1/