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On pseudo-slant submanifolds of trans-Sasakian manifolds. (English) Zbl 1230.53021

The geometry of slant submanifolds in Sasakian manifolds was studied by Cabrerizo, Carriazo and Fernandez. In the present paper, the authors study pseudo-slant submanifolds of trans-Sasakian manifold. Integrability conditions of the distributions involved in pseudo-slant submanifolds are obtained. Some other results on such submanifolds are also deduced. At the end, an example of a pseudo-slant submanifold of a trans-Sasakian manifold is given. This article contains interesting results.

MSC:

53B25 Local submanifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
58A30 Vector distributions (subbundles of the tangent bundles)
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