Contact CR-Warped Product Submanifolds of Nearly Lorentzian Para-Sasakian Manifolds

Authors : Shamsur RAHMAN

Pages : 40-47

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Publication Date : 2017-12-19

Article Type : Research Paper

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