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- W2118195650 abstract "Complete integrability in the sense of Liouville is established for the rotation of an arbitrary rigid body about a fixed point in a Newtonian field with an arbitrary homogeneous quadratic potential. Explicit formulas, which express the angular velocity of the rigid body rotation in terms of theta functions on Riemannian surfaces, are obtained. A series of cases is found in which the Euler equations on the Lie algebra SO(4) are integrable. A model of pulsar rotation, the dynamics of which are described by Euler equations on the Lie algebra SO(3)E3, is investigated. Bibliography: 53 titles." @default.
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- W2118195650 date "1985-04-30" @default.
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- W2118195650 title "INTEGRABLE EULER EQUATIONS ON LIE ALGEBRAS ARISING IN PROBLEMS OF MATHEMATICAL PHYSICS" @default.
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- W2118195650 doi "https://doi.org/10.1070/im1985v025n02abeh001278" @default.
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