Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)
Abstract
In the paper we determine the class of diffeomorphism of three-dimensional regular common level surfaces of Hamiltonian and Casimir functions for the analog of Kovalevskaya case on Lie algebra so(4). We start from Fomenko-Zieschang invariants of Lioville foliations on these manifolds that were calculated by the author earlier.
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