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Zbl 0885.53058
Lotta, Antonio
Slant submanifolds in contact geometry.
(English)
[J] Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 39, No. 1-4, 183-198 (1996). ISSN 1220-3874

Slant submanifolds in almost Hermitian manifolds were introduced in [{\it B.-Y. Chen}, Bull. Aust. Math. Soc. 41, 135-147 (1990; Zbl 0677.53060)] as submanifolds with constant slant angle. In the present article, the author defines the notion of slant submanifolds in an almost contact metric manifold with structure $(\phi,\xi,\eta, g)$ in a similar way. The author obtains several basic properties of slant submanifolds in a $K$-contact manifold when the characteristic vector field $\xi$ is tangent to the slant submanifolds. He also investigates slant submanifolds in an almost contact metric manifold $M\times\bbfR$ whose contact structure is obtained from the almost Hermitian structure on an almost Hermitian manifold $M$.
[B.-Y.Chen (East Lansing)]
MSC 2000:
*53C40 Submanifolds (differential geometry)
53C15 Geometric structures on manifolds

Keywords: slant submanifolds; almost contact metric manifold; $K$-contact manifold

Citations: Zbl 0677.53060

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