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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 8, Pages 42–52 (Mi ivm8917)  
This article is cited in 9 scientific papers (total in 9 papers)

Almost contact Kählerian manifolds of constant holomorphic sectional curvature

S. V. Galaev

Chair of Geometry, Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia
Full-text PDF (213 kB) Citations (9)
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Abstract: The notion of an almost contact Kählerian structure is introduced. The holomorphic sectional curvature of a distribution of an almost contact Kählerian structure with respect to an interior metric connection is defined. The relation between the $\varphi$-sectional curvature of an almost contact Kählerian manifold and the holomorphic sectional curvature of a distribution of an almost contact Kählerian structure is found.
Keywords: interior connection, extended connection, almost contact Kählerian space, $\varphi$-sectional curvature of an almost contact Kählerian space, holomorphic sectional curvature of a distribution of an almost contact Kählerian structure.
Received: 23.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 8, Pages 35–42
DOI: https://doi.org/10.3103/S1066369X14080040
Bibliographic databases:
Document Type: Article
UDC: 514.764
Language: Russian
Citation: S. V. Galaev, “Almost contact Kählerian manifolds of constant holomorphic sectional curvature”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 42–52; Russian Math. (Iz. VUZ), 58:8 (2014), 35–42
Citation in format AMSBIB
\Bibitem{Gal14}
\by S.~V.~Galaev
\paper Almost contact K\"ahlerian manifolds of constant holomorphic sectional curvature
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 8
\pages 42--52
\mathnet{http://mi.mathnet.ru/ivm8917}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 8
\pages 35--42
\crossref{https://doi.org/10.3103/S1066369X14080040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904618029}
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  • https://www.mathnet.ru/eng/ivm/y2014/i8/p42
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :63
    References:46
    First page:15
     
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