This article is cited in 17 papers

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

M. B. Banaru

Smolensk Humanitarian University

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.

UDC: 513.74

MSC: Primary 53C55; Secondary 53C15, 53C40

Received: 04.07.2002

DOI: 10.4213/sm759

 English version: Sbornik: Mathematics, 2003, 194:8, 1125–1136

Bibliographic databases:

• 
• 
• 
•