Some curvature properties of Lorentzian α-Sasakian manifolds. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: Dey, Santu; Bhattacharyya, Arindam
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 14:Issue 1(2016)
• Page Start: 85
• Page End: 98
• Publication Date: 2016-01-02
• Subjects: 53C25 -- 53C15 -- 53D15; Pseudo projective φ-recurrent manifold -- generalized projective φ-recurrent manifold -- Einstein manifold -- quasi-projectively flat Lorentzian α-Sasakian manifold; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2016.1177936
• Languages: English
• ISSNs: 1726-037X

Abstract

Abstract: The object of the present paper is to study the pseudo-projective φ -recurrent and generalized projective recurrent Lorentzian α-Sasakian manifolds. Here we show that pseudo-projective φ -recurrent Lorentzian α-Sasakian Manifold is an Einstein manifold and in the case of generalized projective φ - recurrent Lorentzian α-Sasakian manifold, we find a relation between the associated 1-forms A and B. We have also proved that the characteristic vector field ξ and vector field ρ associated to the 1-forms A and B are co-directional. We also study quasi-projectively flat Lorentzian α-Sasakian manifolds.