Topological Analysis of the Liouville Foliation for the Kovalevskaya Integrable Case on the Lie Algebra so(4)
- 作者: Kibkalo V.1
-
隶属关系:
- Lomonosov Moscow State University, GSP-1
- 期: 卷 39, 编号 9 (2018)
- 页面: 1396-1399
- 栏目: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203413
- DOI: https://doi.org/10.1134/S1995080218090275
- ID: 203413
如何引用文章
详细
In this paper we study the topology of the Liouville foliation for the integrable case of Euler’s equations on the Lie algebra so(4) discovered by I.V. Komarov, which is a generalization of the Kovalevskaya integrable case in rigid body dynamics. We generalize some results by A.V. Bolsinov, P.H. Richter, and A.T. Fomenko about the topology of the classical Kovalevskaya case. We also show how the Fomenko–Zieschang invariant can be calculated for every admissible curve in the image of the momentum map.
作者简介
V. Kibkalo
Lomonosov Moscow State University, GSP-1
编辑信件的主要联系方式.
Email: slava.kibkalo@gmail.com
俄罗斯联邦, Moscow, 119991