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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, Number 5, Pages 34–37
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This article is cited in 2 scientific papers (total in 2 papers)
Short notes
The axiom of cosymplectic surfaces and $W_4$-manifolds
M. B. Banaru
Smolensk State University
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.
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English version:
Moscow University Mathematics Bulletin, 2015, 70:5, 213–215
Bibliographic databases:
   
UDC:
513.82
Received: 24.03.2014
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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\by M.~B.~Banaru
\paper The axiom of cosymplectic surfaces and $W_4$-manifolds
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2015
\issue 5
\pages 34--37
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2015
\vol 70
\issue 5
\pages 213--215
\crossref{https://doi.org/10.3103/S0027132215050046}
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Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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M. B. Banaru, “Almost contact metric hypersurfaces with small type numbers in $W_4$-manifolds”, Moscow University Mathematics Bulletin, 73:1 (2018), 38–40
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M. B. Banaru, “O shestimernoi sfere s priblizhenno kelerovoi strukturoi”, Geometriya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 146, VINITI RAN, M., 2018, 3–16
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