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- Title
CURVATURE PROPERTIES OF A WARPED PRODUCT METRIC.
- Authors
Shaikh, Absos Ali; Hui, Shyamal Kumar; Sarkar, Mousumi
- Abstract
The purpose of the paper is to investigate curvature restricted geometric properties of a warped product metric with 1-dimensional base and 3-dimensional fibre and found that such a metric is pseudosymmetric and possesses various type of pseudosymmetric structures such as, Ricci generalized pseudosymmetry, Ricci generalized projective pseudosymmetry, Ricci generalized concircular pseudosymmetry (W ⋅ R = fRQ(S,R)), pseudosymmetry due to conharmonic curvature tensor (K #8901; R = fRQ(g,R)), semisymmetry due to conharmonic curvature tensor (R #8901; K = 0) etc. Later, it is also found that the warped product metric is an Einstein manifold of degree 2 and Ricci tensor has quasi-Einstein nature. Finally, the novelty of the work is that the energy momentum tensor of the metric has also pseudosymmetric nature.
- Subjects
EINSTEIN, Albert, 1879-1955; EINSTEIN manifolds; CURVATURE
- Publication
Palestine Journal of Mathematics, 2024, Vol 13, Issue 1, p220
- ISSN
2219-5688
- Publication type
Article