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Zbl 0847.53012
Papaghiuc, Neculai
Semi-slant submanifolds of a Kaehlerian manifold. (English)
[J] An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 40, No.1, 55-61 (1994). ISSN 1221-8421; ISSN 0041-9109/e

The author defines a semi-slant submanifold $M$ of a Kählerian manifold to be a submanifold whose tangent bundle is the direct sum of a complex distribution and a slant distribution with the slant angle $\theta \ne 0$ in the sense of [the reviewer, Geometry of slant submanifolds. Leuven: Kath. Univ. Leuven, Dept. of Mathematics. 123 p. (1990; Zbl 0716.53006)]. The author obtains the necessary and sufficient conditions for the complex and slant distributions to be integrable. He also obtains a necessary and sufficient condition for a semi-slant submanifold to be the Riemannian product of a complex submanifold and a slant submanifold.
[B.-Y.Chen (East Lansing)]

MSC 2000:: *53B25 Local submanifolds
53B35 Complex differential geometry (local)
53C40 Submanifolds (differential geometry)

Keywords: Kähler manifold; integrability; slant submanifold; semi-slant submanifold

Citations: Zbl 0716.53006

Cited in: Zbl 1253.53060 Zbl 1168.53313

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