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

De, Uday Chand; Sarkar, Avijit

Proc. Est. Acad. Sci. 60, No. 1, 1-11 (2011).

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.

Reviewer: Hasan Shahid (New Delhi)

MSC:

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

Keywords:

trans-Sasakian Manifolds; contact metric manifolds; pseudo-slant submanifolds