Geodesic
Stability of stationary rotations of multidimensional rigid body
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 59-62

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It is well known that the rotation of a free three-dimensional rigid body around the long and the short axes of inertia is stable, while the rotation around the middle axis is unstable. We generalize this result to the case of many-dimensional space. 
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     author = {A. M. Izosimov},
     title = {Stability of stationary rotations of multidimensional rigid body},
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A. M. Izosimov. Stability of stationary rotations of multidimensional rigid body. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2013), pp. 59-62. http://geodesic.mathdoc.fr/item/VMUMM_2013_1_a11/