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Slant submanifolds in Sasakian manifolds. (English) Zbl 0957.53022

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.

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

Citations:

Zbl 0677.53060
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