Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 5, Pages 34–37 (Mi vmumm264)  
This article is cited in 3 scientific papers (total in 3 papers)

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The axiom of cosymplectic surfaces and $W_4$-manifolds

M. B. Banaru

Smolensk State University
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Abstract: An almost Hermitian manifold satisfies the cosymplectic $t$-hypersurfaces axiom, if a cosymplectic hypersurface with type number $t$ passes through every its point. It is proved that if an arbitrary $W_4$-manifold satisfies the cosymplectic $t$-hypersurfaces axiom with $t\leq1$, then this manifold is Kählerian.
Key words: almost contact metric structure, cosymplectic structure, type number, hypersurface, $W_4$-manifold.
Received: 24.03.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 5, Pages 213–215
DOI: https://doi.org/10.3103/S0027132215050046
Bibliographic databases:
Document Type: Article
UDC: 513.82
Language: Russian
Citation: M. B. Banaru, “The axiom of cosymplectic surfaces and $W_4$-manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 5, 34–37; Moscow University Mathematics Bulletin, 70:5 (2015), 213–215
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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