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Matematicheskie Zametki, 1998, Volume 63, Issue 4, Pages 579–592
DOI: https://doi.org/10.4213/mzm1318 (Mi mzm1318) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Degenerate Poisson structures in dimension 3

O. V. Lychagina

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)
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DOI: https://doi.org/10.4213/mzm1318
Abstract: Formal normal forms of degenerate Poisson structures in dimension 3 are described. The main tool of the study is a spectral sequence previously introduced by the author. In particular, this method allows one to obtain a new proof of the linearizability of Poisson structures with semisimple linear part. However, there are nonlinearizable Poisson structures in dimension 3 as well.
Received: 18.09.1996
Revised: 10.11.1997
English version:
Mathematical Notes, 1998, Volume 63, Issue 4, Pages 509–521
DOI: https://doi.org/10.1007/BF02311254
Bibliographic databases:
UDC: 514.763.85
Language: Russian
Citation: O. V. Lychagina, “Degenerate Poisson structures in dimension 3”, Mat. Zametki, 63:4 (1998), 579–592; Math. Notes, 63:4 (1998), 509–521
Citation in format AMSBIB
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\paper Degenerate Poisson structures in dimension 3
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\pages 579--592
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\jour Math. Notes
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\pages 509--521
\crossref{https://doi.org/10.1007/BF02311254}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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