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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 2, Pages 3–15 (Mi ivm8770)  
This article is cited in 1 scientific paper (total in 1 paper)

Eight-dimensional Bol webs with an almost zero curvature tensor

M. V. Antipovaa, A. M. Shelekhovb

a Moscow Pedagogical State University, Moscow, Russia
b Tver State University, Tver, Russia
Full-text PDF (203 kB) Citations (1)
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Abstract: Earlier V. I. Fedorova has described classes of six-dimensional Bol webs. Later M. V. Antipova studied multidimensional middle Bol webs with a single nonzero component of the curvature tensor generalizing the mentioned class. In this paper we consider eight-dimensional Bol webs with the same property of the curvature tensor. We show that there exist only two classes of such webs and obtain the corresponding equations.
Keywords: Bol three-web, Lie algebra.
Received: 22.12.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 2, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X13020011
Bibliographic databases:
Document Type: Article
UDC: 514.763
Language: Russian
Citation: M. V. Antipova, A. M. Shelekhov, “Eight-dimensional Bol webs with an almost zero curvature tensor”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2, 3–15; Russian Math. (Iz. VUZ), 57:2 (2013), 1–12
Citation in format AMSBIB
\Bibitem{AntShe13}
\by M.~V.~Antipova, A.~M.~Shelekhov
\paper Eight-dimensional Bol webs with an almost zero curvature tensor
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 2
\pages 3--15
\mathnet{http://mi.mathnet.ru/ivm8770}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 2
\pages 1--12
\crossref{https://doi.org/10.3103/S1066369X13020011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878399824}
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  • https://www.mathnet.ru/eng/ivm/y2013/i2/p3
    • This publication is cited in the following 1 articles:
    1. K. R. Dzhukashev, “About A-property of some elastic three-webs”, Russian Math. (Iz. VUZ), 60:7 (2016), 19–28  mathnet  crossref  isi
    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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