De, Uday Chand; Sarkar, Avijit On pseudo-slant submanifolds of trans-Sasakian manifolds. (English) Zbl 1230.53021 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) Cited in 5 Documents 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 PDF BibTeX XML Cite \textit{U. C. De} and \textit{A. Sarkar}, Proc. Est. Acad. Sci. 60, No. 1, 1--11 (2011; Zbl 1230.53021) Full Text: DOI Link OpenURL