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Almost pseudo- $Q$ -symmetric semi-Riemannian manifolds

Department of Mathematics and Informatics, Faculty of Science and Mathematics, University of Niś, Visegradska 33, P. O. Box 202, 18000 Niś, Serbia

E-mail Address: ljubicavelimirovic@yahoo.com

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Pradip Majhi

Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata-700019, West Bengal, India

E-mail Address: mpradipmajhi@gmail.com

Corresponding author.

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Uday Chand De

Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata-700019, West Bengal, India

E-mail Address: uc_de@yahoo.com

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https://doi.org/10.1142/S0219887818501177Cited by:0 (Source: Crossref)

Abstract

The object of the present paper is to study almost pseudo- $Q$ -symmetric manifolds $A {(PQS)}_{n}$ . Some geometric properties have been studied which recover some known results of pseudo $Q$ -symmetric manifolds. We obtain a necessary and sufficient condition for the $𝒬$ -curvature tensor to be recurrent in $A {(PQS)}_{n}$ . Also, we provide several interesting results. Among others, we prove that a Ricci symmetric $A {(PQS)}_{n}$ is an Einstein manifold under certain condition. Moreover we deal with $𝒬$ -flat perfect fluid, dust fluid and radiation era perfect fluid spacetimes respectively. As a consequence, we obtain some important results. Finally, we consider $A {(PQS)}_{4}$ -spacetimes.

Keywords:

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