Keyword: Pseudo Symmetric Manifolds : Search

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articleNo Access
Almost pseudo- $Q$ $Q$ -symmetric semi-Riemannian manifolds
- Ljubica Velimirović,
- Pradip Majhi, and
- Uday Chand De
International Journal of Geometric Methods in Modern Physics24 May 2018
Preview Abstract
The object of the present paper is to study almost pseudo- $Q$ $Q$ -symmetric manifolds $A {(PQS)}_{n}$ $A {(PQS)}_{n}$ . Some geometric properties have been studied which recover some known results of pseudo $Q$ $Q$ -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.

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