Georgievsky, D. V.; Shamolin, M. V. First integrals of motion equations of a generalized gyroscope in \(\mathbb R^n\). (Russian, English) Zbl 1127.70003 Vestn. Mosk. Univ., Ser. I 2003, No. 5, 37-41 (2003); translation in Mosc. Univ. Math. Bull. 58, No. 5, 25-29 (2003). The authors study a generalized gyroscope in \(\mathbb R^n\) (see [W. von Frahm, Math. Ann. 8, 35–44 (1874; JFM 06.0198.01)]). The generalized gyroscope in \(\mathbb R^n\) is understood as a body with the following properties: its \(n\) momenta of inertia \(B_\alpha\) can be divided into two groups \(B_1 = \dots=B^l\) and \(B_{l+1} =\dots=B^n\), where \(l\) takes the values from 1 to \(n-1\). The case \(n=4\) is considered in details. Reviewer: Julia A. Martynyuk (Kyïv) Cited in 19 Documents MSC: 70E05 Motion of the gyroscope 70K99 Nonlinear dynamics in mechanics Keywords:generalized gyroscope in \(n\)-dimensional space Citations:JFM 06.0198.01 PDFBibTeX XMLCite \textit{D. V. Georgievsky} and \textit{M. V. Shamolin}, Vestn. Mosk. Univ., Ser. I 2003, No. 5, 37--41 (2003; Zbl 1127.70003); translation in Mosc. Univ. Math. Bull. 58, No. 5, 25--29 (2003)