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arXiv 1901.09261math.DS
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李代数so(4)上Kovalevskaya可积情形下Liouville叶状结构的拓扑分类

Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(4)

Vladislav Kibkalo

摘要:

讨论了李代数so(4)上类似Kovalevskaya可积情形的Liouville叶状结构的拓扑.针对每个规则等能子流形上的这些叶理计算了Fomenko-Zieschang不变量(即标记分子)。详细描述了这些流形的参数的三维空间的相应分层。

英文摘要:

Topology of Liouville foliations for an analogue of the Kovalevskaya integrable case on Lie algebra so(4) is discussed. Fomenko-Zieschang invariants (i.e. marked molecules) were calculated for these foliations on every regular isoenergy submanifold. The corresponding stratification of the three-dimensional space of parameters of these manifolds is described in details.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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