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

Journal Article · Sun Aug 31 00:00:00 EDT 2003 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2003V194N08ABEH000759; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21208343

Banaru, M B ^[1]

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1. Smolensk Humanitarian University, Smolensk (Russian Federation)

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.

• OSTI ID: 21208343
• Journal Information: Sbornik. Mathematics, Vol. 194, Issue 8; Other Information: DOI: 10.1070/SM2003v194n08ABEH000759; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
HERMITIAN OPERATORS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MANIFOLDS