LP-Kenmotsu Manifolds Admitting Bach Almost Solitons
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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