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Euler equations on finite dimensional Lie algebras arising in physical problems

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Abstract

Real physical problems are presented in which Euler equations on Lie algebras of arbitrarily high finite dimension arise. A new integrable case of rotation of a magnetized rigid body in constant gravitational and magnetic fields is found. It generalizes the Kowalewski classical integrable case.

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Authors and Affiliations

  1. V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR, SU-117966, Moscow, USSR

    O. I. Bogoyavlensky

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  1. O. I. Bogoyavlensky
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Communicated by Ya. G. Sinai

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Bogoyavlensky, O.I. Euler equations on finite dimensional Lie algebras arising in physical problems. Commun.Math. Phys. 95, 307–315 (1984). https://doi.org/10.1007/BF01212401

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  • DOI: https://doi.org/10.1007/BF01212401

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