CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection

Abstract

The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection. For this, some properties of CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection are investigated which conclude that CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection exists with respect to the ?????horizontal and ?????vertical.

Some Properties of <i>CR</i>-Submanifolds of a Nearly Trans-Sasakian Manifold with a Semi Symmetric Non-Metric Connection

“…CR -submanifolds of a nearly trans-Sasakian manifold were studied by Falleh R. Al-Solamy [9]. CRsubmanifolds of an LP -Sasakian manifold with a semi-symmetric metric connection were studied by M. Ahmad et al [10]. Motivated by the studies in [11]- [13], in this paper we study CR -submanifolds of a nearly trans-Sasakian manifold endowed with a semi symmetric non-metric connection.…”