Geodesic
Isometric immersions of domains of three-dimensional Lobachevskii space in five-dimensional Euclidean space, and the motion of a rigid body
Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 11-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper a connection is established between the theory of isometric immersions of a space of constant curvature and a classical problem of mechanics on the motion of a rigid body. Figures: 3. Bibliography: 6 titles. 
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Yu. A. Aminov. Isometric immersions of domains of three-dimensional Lobachevskii space in five-dimensional Euclidean space, and the motion of a rigid body. Sbornik. Mathematics, Tome 50 (1985) no. 1, pp. 11-30. http://geodesic.mathdoc.fr/item/SM_1985_50_1_a1/

[1] Aminov Yu. A., “Ob izometricheskikh pogruzheniyakh oblastei $n$-mernogo prostranstva Lobachevskogo v $(2n-1)$-mernoe evklidovo prostranstvo”, DAN SSSR, 236 (1977), 521–524 | MR | Zbl

[2] Aminov Yu. A., “Izometricheskie pogruzheniya oblastei $n$-mernogo prostranstva Lobachevskogo v $(2n-1)$-mernoe evklidovo prostranstvo”, Matem. sb., 111(153) (1980), 402–433 | MR | Zbl

[3] Aminov Yu. A., “Mnogomernyi analog uravneniya “sinus Gordona” i dvizhenie tverdogo tela”, DAN SSSR, 264:5 (1980), 1113–1116 | MR

[4] Aminov Yu. A., “Preobrazovanie Bianki dlya oblasti mnogomernogo prostranstva Lobachevskogo”, Ukrainsk. geometr. sb., 1978, no. 21, 3–5 | MR | Zbl

[5] Arkhangelskii Yu. A., Analiticheskaya dinamika tverdogo tela, Nauka, M., 1977 | MR

[6] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR