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This article is cited in 5 scientific papers (total in 5 papers)
On the Kenmotsu hypersurfaces of special Hermitian manifolds
M. B. Banaru
Smolensk Humanitarian University
Abstract:
We consider almost contact metric hypersurfaces of almost Hermitian manifolds of class $W3$ (in the Gray–Hervella terminology). We establish a criterion for minimality of such hypersurfaces in the case when the contact metric structure is cosymplectic.
Keywords:
almost Hermitian manifold, $W3$-manifold, cosymplectic structure, minimal hypersurface
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Siberian Mathematical Journal, 2004, 45:1, 7–10
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UDC:
513.74
Received: 20.03.2002
Citation:
M. B. Banaru, “On the Kenmotsu hypersurfaces of special Hermitian manifolds”, Sibirsk. Mat. Zh., 45:1 (2004), 11–15; Siberian Math. J., 45:1 (2004), 7–10
Citation in format AMSBIB
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\jour Siberian Math. J.
\yr 2004
\vol 45
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\pages 7--10
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http://mi.mathnet.ru/eng/smj1051 http://mi.mathnet.ru/eng/smj/v45/i1/p11
Citing articles on Google Scholar:
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Russian articles,
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This publication is cited in the following articles:
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M. B. Banaru, “On almost contact metric $1$-hypersurfaces in Kählerian manifolds”, Siberian Math. J., 55:4 (2014), 585–588
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M. B. Banaru, “The axiom of cosymplectic surfaces and $W_4$-manifolds”, Moscow University Mathematics Bulletin, 70:5 (2015), 213–215
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Banaru M. Banaru G., “A Note on W-3-Manifolds”, Publ. Inst. Math.-Beograd, 103:117 (2018), 17–23
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Banaru M., “A Note on Geometry of Special Hermitian Manifolds”, Lobachevskii J. Math., 39:1, SI (2018), 20–24
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M. B. Banaru, G. A. Banaru, “O giperpoverkhnostyakh so strukturoi Kirichenko–Uskoreva v Kelerovykh mnogoobraziyakh”, Sib. elektron. matem. izv., 17 (2020), 1715–1721
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