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.


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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