Contact conformal connection on a geometry of hypersurfaces with certain connection in a quasi-Saskian manifold

Abstract

Goldberg and Rosca introduced the notion of Sasakian manifold and conformal connections and studied its several properties. The purpose of the paper is to relate to the notion of CR-submanifold and the existence of some contact conformal structures on a hypersurface of a semi-symmetric nonmetric connection in a quasi-Sasakian manifold. Next, we study the existence of a Kahler structure on M and the existence of a globally metric frame f -structure in sense of Goldberg S.I., Yano K. [10]. The integrability of distributions on M and the geometry of their leaves are also studied.