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Matematicheskie Zametki, 2003, Volume 74, Issue 3, Pages 323–328
DOI: https://doi.org/10.4213/mzm265 (Mi mzm265) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Six-Dimensional $G2$-Submanifolds of Cayley Algebras

M. B. Banaru

Smolensk Humanitarian University
Full-text PDF (183 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm265
Abstract: It is proved that a generic-type 6-dimensional almost Hermitian submanifold of the algebra of octaves is minimal if and only if it belongs to the Gray–Hervella class $G2$. This is a maximal strengthening of the well-known result of Gray, who proved the minimality of the 6-dimensional Kähler submanifolds of the Cayley algebra.
Received: 01.06.2001
Revised: 15.05.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 3, Pages 311–315
DOI: https://doi.org/10.1023/A:1026119732582
Bibliographic databases:
UDC: 513.74
Language: Russian
Citation: M. B. Banaru, “On Six-Dimensional $G2$-Submanifolds of Cayley Algebras”, Mat. Zametki, 74:3 (2003), 323–328; Math. Notes, 74:3 (2003), 311–315
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    1. M. B. Banaru, “On the Six-Dimensional Sphere with a Nearly Kählerian Structure”, Journal of Mathematical Sciences, 245:5 (2020), 553–567  mathnet  crossref  mathscinet
    2. M. B. Banaru, “Geometry of 6-Dimensional Hermitian Manifolds of the Octave Algebra”, J Math Sci, 207:3 (2015), 354  crossref
    3. M. B. Banaru, “On almost contact metric hypersurfaces with type number 1 in $6$-dimensional Kählerian submanifolds of Cayley algebra”, Russian Math. (Iz. VUZ), 58:10 (2014), 10–14  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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