Abstract
This paper deals with the study of CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non-metric connection. Nijenhuis tensor, integrability conditions for some distributions on CR-submanifolds of a nearly trans-Sasakian manifold with a semi symmetric non- metric connection are discussed.
Highlights
Motivated by the studies in [11]-[13], in this paper we study CR -submanifolds of a nearly transSasakian manifold endowed with a semi symmetric non-metric connection
We have: Theorem 3.2 (i) If M is ξ -horizontal, X,Y ∈ D and D is parallel with respect to ∇, the connection induced on a CR -submanifold of a nearly trans-Sasakian manifold with a semi symmetric non-metric connection is a semi symmetric non-metric connection
Let ∇ be the induced connection with respect to the unit normal N on a CR -submanifold of a nearly trans-Sasakian manifold from a semi symmetric non-metric connection connection ∇
Summary
CR -submanifolds of a nearly trans-Sasakian manifold were studied by Falleh R. CR submanifolds of an LP -Sasakian manifold with a semi-symmetric metric connection were studied by M. Motivated by the studies in [11]-[13], in this paper we study CR -submanifolds of a nearly transSasakian manifold endowed with a semi symmetric non-metric connection. (2014) Some Properties of CR -Submanifolds of a Nearly Trans-Sasakian Manifold with a Semi Symmetric Non-Metric Connection. We consider integrabilities of horizontal and vertical distributions of CR -submanifolds with a semi symmetric non-metric connection.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
