- Turkish Journal of Mathematics and Computer Science
- Vol: 7
- Contact CR-Warped Product Submanifolds of Nearly Lorentzian Para-Sasakian Manifolds
Contact CR-Warped Product Submanifolds of Nearly Lorentzian Para-Sasakian Manifolds
Authors : Shamsur RAHMAN
Pages : 40-47
View : 5 | Download : 2
Publication Date : 2017-12-19
Article Type : Research
Abstract :In the present paper we have investigated CR-submanifold of a nearly Lorentzian para-Sasakian manifolds, generalizing sharp inequality namely $||h||^{2}\geq \frac{2}{9} s +2s ||\nabla \ln f||^{2}$, for contact CR-warped products of nearly Lorentzian para-Sasakian manifolds. It is also proved that the derive inequalities for contact CR-warped products either in any contact metric manifold. The equality case is also handled.Keywords : CR-submanifold, nearly Lorentzian para-Sasakian manifold, $\xi$-vertical CR-submanifold.