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Mathematical Physics and Computer Simulation, 2017, Volume 20, Issue 5, Pages 32–38
DOI: https://doi.org/10.15688/mpcm.jvolsu.2017.5.4
(Mi vvgum204)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics and mechanics

Integrability properties of $NC_{10}$-manifolds

A. R. Rustanov

Moscow State Pedagogical University
Full-text PDF (462 kB) Citations (1)
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Abstract: In this paper we investigate the integrability properties of $NC_{10}$-manifolds. In particular, it is shown that the integrable $NC_{10}$-structure, and also the normal $NC_{10}$-structure, is cosymplectic. It is shown that $NC_{10}$-structure with a closed contact form is finer than cosymplectic. Local structures of investigated manifolds are given.
Keywords: cosymplectic structure, integrable structure, approximately Kähler manifold, finitely cosymplectic structure, Nijenhuis tensor, normal structure, $NC_{10}$-manifold.
Document Type: Article
UDC: 514.76
BBC: 22.1
Language: Russian
Citation: A. R. Rustanov, “Integrability properties of $NC_{10}$-manifolds”, Mathematical Physics and Computer Simulation, 20:5 (2017), 32–38
Citation in format AMSBIB
\Bibitem{Rus17}
\by A.~R.~Rustanov
\paper Integrability properties of $NC_{10}$-manifolds
\jour Mathematical Physics and Computer Simulation
\yr 2017
\vol 20
\issue 5
\pages 32--38
\mathnet{http://mi.mathnet.ru/vvgum204}
\crossref{https://doi.org/10.15688/mpcm.jvolsu.2017.5.4}
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  • https://www.mathnet.ru/eng/vvgum/v20/i5/p32
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Mathematical Physics and Computer Simulation
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