LP-Kenmotsu Manifolds Admitting Bach Almost Solitons

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

Pages : 102-110

Doi:10.32323/ujma.1443527

View : 130 | Download : 145

Publication Date : 2024-09-21

Article Type : Research

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