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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 89–98 (Mi ivm7293)  

This article is cited in 1 scientific paper (total in 1 paper)

Nearly Kähler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order 6

A. S. Samsonov

Chair of Geometry, Topology and Mathematics Teaching Pronciples, Belarussian State University, Minsk, Belarus
Full-text PDF (226 kB) Citations (1)
References:
Abstract: In this paper we consider the canonical $f$-structures on arbitrary naturally reductive homogeneous $\Phi$-spaces of order 6. We obtain the necessary and sufficient conditions under which these structures belong to classes of a generalized Hermitian geometry such as nearly Kähler and Hermitian $f$-structures.
Keywords: naturally reductive space, invariant $f$-structure, generalized Hermitian geometry, homogeneous periodic $\Phi$-space, generalized symmetric space, canonical $f$-structure.
Received: 29.10.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 4, Pages 74–82
DOI: https://doi.org/10.3103/S1066369X11040098
Bibliographic databases:
Document Type: Article
UDC: 514.765
Language: Russian
Citation: A. S. Samsonov, “Nearly Kähler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order 6”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 89–98; Russian Math. (Iz. VUZ), 55:4 (2011), 74–82
Citation in format AMSBIB
\Bibitem{Sam11}
\by A.~S.~Samsonov
\paper Nearly K\"ahler and Hermitian $f$-structures on homogeneous $\Phi$-spaces of order~6
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 4
\pages 89--98
\mathnet{http://mi.mathnet.ru/ivm7293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919799}
\elib{https://elibrary.ru/item.asp?id=15566444}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 4
\pages 74--82
\crossref{https://doi.org/10.3103/S1066369X11040098}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958739603}
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  • https://www.mathnet.ru/eng/ivm/y2011/i4/p89
  • This publication is cited in the following 1 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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    Abstract page:319
    Full-text PDF :74
    References:56
    First page:6
     
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