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Sbornik: Mathematics, 2003, Volume 194, Issue 8, Pages 1125–1136
DOI: https://doi.org/10.1070/SM2003v194n08ABEH000759 (Mi sm759) 		 
This article is cited in 16 scientific papers (total in 16 papers)

On Sasakian hypersurfaces in 6-dimensional Hermitian submanifolds of the Cayley algebra

M. B. Banaru

Smolensk Humanitarian University
English version PDF (178 kB) Citations (16)
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DOI: https://doi.org/10.1070/SM2003v194n08ABEH000759
Abstract: A criterion for the minimality of a Sasakian hypersurface in a 6-dimensional Hermitian submanifold of the octave algebra is found. It is proved that the type number of a Sasakian hypersurface in a 6-dimensional Hermitian submanifold of the octave algebra is four or five. It is also proved that a Sasakian hypersurface in a 6-dimensional Hermitian submanifold of the Cayley algebra is minimal if and only if it is ruled.
Received: 04.07.2002
Russian version:
Matematicheskii Sbornik, 2003, Volume 194, Number 8, Pages 13–24
DOI: https://doi.org/10.4213/sm759
Bibliographic databases:
UDC: 513.74
MSC: Primary 53C55; Secondary 53C15, 53C40
Language: English
Original paper language: Russian
Citation: M. B. Banaru, “On Sasakian hypersurfaces in 6-dimensional Hermitian submanifolds of the Cayley algebra”, Mat. Sb., 194:8 (2003), 13–24; Sb. Math., 194:8 (2003), 1125–1136
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:79
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