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Slant submanifolds in Sasakian manifolds. (English) Zbl 0957.53022
The notion of slant submanifolds in complex geometry was introduced by {\it 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.

53C40Global submanifolds (differential geometry)
53D15Almost contact and almost symplectic manifolds
53C25Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55Hermitian and Kählerian manifolds (global differential geometry)
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