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Some curvature properties of Lorentzian α-Sasakian manifolds
*Santu DeyCorresponding authorSANTU.MATHJU@GMAIL.COMDEPARTMENT OF MATHEMATICSJADAVPUR UNIVERSITYKOLKATA, 700032, INDIAView full profile → , Arindam Bhattacharyyabhattachar1968@yahoo.co.inDEPARTMENT OF MATHEMATICSJADAVPUR UNIVERSITYKOLKATA, 700032, INDIAView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 23 Sep 2015
- Accepted:
- 15 Dec 2015
- Published Online:
- 02 Aug 2016
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2016.1177936
- Pages:
- 85–98
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.
Keywords
Subject Classifications
53C2553C1553D15
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