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Abstract
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Several new integrable cases for Euler’s equations on some
six-dimensional Lie algebras were found by Sokolov in 2004. In this paper
we study topological properties of one of these integrable cases on the Lie
algebra so(4). In particular, for the system under consideration the bifurcation
diagrams of the momentum mapping are constructed and all Fomenko
invariants are calculated. Thereby, the classification of isoenergy surfaces
for this system up to the rough Liouville equivalence is obtained.
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