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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 10, Pages 43–53 (Mi ivm8940)  

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

The six-dimensional left Bol three-webs with general core

A. A. Mikheevaa, G. A. Tolstikhinab

a Chair of Functional Analysis and Geometry, Tver State University, 33 Zhelyabov str., Tver, 170100 Russia
b Chair of Mathematics and Primary Education Principles, Tver State University, 33 Zhelyabov str., Tver, 170100 Russia
Full-text PDF (201 kB) Citations (1)
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Abstract: We found the conditions, under which left three-webs have the general core. These conditions are applied to the finding of six-dimensional left three-webs with the same cores as have the webs, obtained by transformation of parastrophy from the well-known six-dimensional elastic three-webs E1 and E2.
Keywords: Bol three-web, core of Bol three-web, locally symmetric structure, elastic three-web, isotopy.
Received: 14.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 10, Pages 36–45
DOI: https://doi.org/10.3103/S1066369X14100065
Bibliographic databases:
Document Type: Article
UDC: 514.763
Language: Russian
Citation: A. A. Mikheeva, G. A. Tolstikhina, “The six-dimensional left Bol three-webs with general core”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 43–53; Russian Math. (Iz. VUZ), 58:10 (2014), 36–45
Citation in format AMSBIB
\Bibitem{MikTol14}
\by A.~A.~Mikheeva, G.~A.~Tolstikhina
\paper The six-dimensional left Bol three-webs with general core
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 10
\pages 43--53
\mathnet{http://mi.mathnet.ru/ivm8940}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 10
\pages 36--45
\crossref{https://doi.org/10.3103/S1066369X14100065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906847402}
Linking options:
  • https://www.mathnet.ru/eng/ivm8940
  • https://www.mathnet.ru/eng/ivm/y2014/i10/p43
  • This publication is cited in the following 1 articles:
    1. A. A. Mikheeva, “About four-dimensional left Bol three-webs with the same core”, Russian Math. (Iz. VUZ), 61:1 (2017), 14–21  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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    Abstract page:177
    Full-text PDF :56
    References:57
    First page:6
     
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