|
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
Full text:
PDF file (164 kB)
References:
PDF file
HTML file
English version:
Siberian Mathematical Journal, 2004, 45:1, 7–10
Bibliographic databases:
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
\Bibitem{Ban04}
\by M.~B.~Banaru
\paper On the Kenmotsu hypersurfaces of special Hermitian manifolds
\jour Sibirsk. Mat. Zh.
\yr 2004
\vol 45
\issue 1
\pages 11--15
\mathnet{http://mi.mathnet.ru/smj1051}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2047869}
\zmath{https://zbmath.org/?q=an:1125.53038}
\elib{https://elibrary.ru/item.asp?id=14321148}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 1
\pages 7--10
\crossref{https://doi.org/10.1023/B:SIMJ.0000013009.33523.2b}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000189126800002}
Linking options:
http://mi.mathnet.ru/eng/smj1051 http://mi.mathnet.ru/eng/smj/v45/i1/p11
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:
-
M. B. Banaru, “On almost contact metric $1$-hypersurfaces in Kählerian manifolds”, Siberian Math. J., 55:4 (2014), 585–588
-
M. B. Banaru, “The axiom of cosymplectic surfaces and $W_4$-manifolds”, Moscow University Mathematics Bulletin, 70:5 (2015), 213–215
-
Banaru M. Banaru G., “A Note on W-3-Manifolds”, Publ. Inst. Math.-Beograd, 103:117 (2018), 17–23
-
Banaru M., “A Note on Geometry of Special Hermitian Manifolds”, Lobachevskii J. Math., 39:1, SI (2018), 20–24
-
M. B. Banaru, G. A. Banaru, “O giperpoverkhnostyakh so strukturoi Kirichenko–Uskoreva v Kelerovykh mnogoobraziyakh”, Sib. elektron. matem. izv., 17 (2020), 1715–1721
|
Number of views: |
This page: | 305 | Full text: | 81 | References: | 39 |
|