LP-Kenmotsu Manifolds Admitting Bach Almost Solitons

Year 2024, Volume: 7 Issue: 3, 102 - 110, 21.09.2024

Rajendra Prasad , Abhinav Verma , Vindhyachal Singh Yadav , Abdul Haseeb , Mohd Bilal

https://doi.org/10.32323/ujma.1443527

https://izlik.org/JA45AB65XT

Abstract

For a Lorentzian para-Kenmotsu manifold of dimension $m$ (briefly, ${(LPK)_{m}}$) admitting Bach almost soliton $(g,\zeta,\lambda)$, we explored the characteristics of the norm of Ricci operator. Besides, we gave the necessary condition for ${(LPK)_{m}}$ ($m\geq 4$) admitting Bach almost soliton to be an $\eta$-Einstein manifold. Afterwards, we proved that Bach almost solitons are always steady when a Lorentzian para-Kenmotsu manifold of dimension three has Bach almost soliton.

Keywords

Bach almost solitons , $LP$-Kenmotsu manifolds , Perfect fluid , Weyl tensor

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