Slant submanifolds in Sasakian manifolds. (English) Zbl 0957.53022

Cabrerizo, J. L.; Carriazo, A.; Fernández, L. M.; Fernández, M.

Glasg. Math. J. 42, No. 1, 125-138 (2000).

The notion of slant submanifolds in complex geometry was introduced by B. Y. Chen [Bull. Austral. Math. Soc. 41, 135-147 (1990; Zbl 0677.53060)] In this paper, the authors obtain new results on slant submanifols of an almost contact metric manifold. Special attention is given to slant submanifolds of both K-contact and Sasakian manifolds. Also three-dimensional slant submanifolds are studied and several examples of slant submanifolds are given.

Reviewer: Constantin Calin (Iasi)

MSC:

53C40	Global submanifolds
53D15	Almost contact and almost symplectic manifolds
53C25	Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55	Global differential geometry of Hermitian and Kählerian manifolds

Keywords:

slant submanifold; almost contact metric manifold; Sasakian manifold

Citations:

Zbl 0677.53060