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arXiv · 1912.05536

Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)

Vladislav Kibkalo
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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 $\textrm{so}(4)$. We start from Fomenko-Zieschang invariants of Lioville foliations on these manifolds that were calculated by the author earlier.

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Vladislav Kibkalo. 2019-12-12. Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4). https://arxiv.org/abs/1912.05536

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