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Differential geometry and applications
May 5, 2014 16:45–18:30, Moscow
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Topological singularities of Sokolov's integrable system on Lie algebras $\mathrm{so}(3,1)$ and $\mathrm{e}(3)$
D. V. Novikov
M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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References
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Borisov A. V., Mamaev I. S., Sokolov V. V., “Novyi integriruemyi sluchai na $\mathrm{so}(4)$”, Doklady RAN, 381:5 (2001), 614–615
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Sokolov V. V., “Ob odnom klasse kvadratichnykh gamiltonianov na $\mathrm{so}(4)$”, Doklady RAN, 69:1 (2004), 108–111
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Khagigatdust G., Oshemkov A. A., “Topologiya sloeniya Liuvillya dlya integriruemogo sluchaya Sokolova na algebre Li $\mathrm{so}(4)$”, Matem. sb., 200:6 (2009), 119–142
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Novikov D. V., “Topologicheskie osobennosti integriruemogo sluchaya Sokolova na algebre Li $\mathrm{e}(3)$”, Matem. sb., 202:5 (2011), 127–160
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Novikov D. V., “Topologiya izoenergeticheskikh poverkhnostei dlya integriruemogo sluchaya Sokolova na algebre Li $\mathrm{so}(3,1)$”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekh., 2011, no. 4, 62–64
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