Stability of stationary rotations of a multi-dimensional rigid body / A. M. Izosimov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. ? 1. P. 59-62 [Moscow Univ. Math. Bulletin. Vol. 68, N 1, 2013.].

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.

Key words: many-dimensional rigid body, stability.