Hyper generalized pseudo \(Q\)-symmetric semi-Riemannian manifolds
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Adara M. Blaga
adarablaga@yahoo.com
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Manoj Ray Bakshi
raybakshimanoj@gmail.com
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Kanak Kanti Baishya
kanakkanti.kc@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462021000100087Abstract
The object of the present paper is to study the properties of a hyper generalized pseudo \(Q\)-symmetric semi-Riemannian manifold, proving that under certain assumptions, it is a perfect fluid spacetime.
Keywords
K. K. Baishya, F. Ozen Zengin and J. Mikeš, “On hyper generalised weakly symmetric manifolds”, Nineteenth International Conference on Geometry, Integrability and Quantization, 02– 07, June 2017, Varna, Bulgaria Ivaïlo M. Mladenov and Akira Yoshioka, Editors Avangard Prima, Sofia 2018, pp. 1–10.
C. A. Mantica, U. C. De, Y. J. Suh, and L. G. Molinari, “Perfect fluid spacetimes with harmonic generalized curvature tensor”, Osaka J. Math., vol. 56, pp. 173–182, 2019.
C. A. Mantica, and L. G. Molinari, “A second-order identity for the Riemann tensor and applications”, Colloq. Math., vol. 122, no. 1, pp. 69–82, 2011.
C. A. Mantica, and L. G. Molinari, “Weakly Z-symmetric manifolds”, Acta Math. Hung., vol. 135, no. 1-2, pp. 80–96, 2012.
C. A. Mantica, and Y. J. Suh, “Pseudo Q-symmetric semi-Riemannian manifolds”, Int. J. Geom. Meth. Mod. Phys., vol. 10, no. 5, 2013.
C. A. Mantica, and Y. J. Suh, “Pseudo Z-symmetric Riemannian manifolds with harmonic curvature tensors”, Int. J. Geom. Meth. Mod. Phys., vol. 9, no. 1, 2012, 1250004.
C. A. Mantica, and Y. J. Suh, “Recurrent Z-forms on Riemannian and Kaehler manifolds”, Int. J. Geom. Meth. Mod. Phys., vol. 9, no. 7, 2012, 1250059.
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