容许巴赫几乎孤子的 LP-Kenmotsu 流形

Rajendra Prasad, Abhinav Verma, Vindhyachal Singh Yadav, Abdul Haseeb, Mohd Bilal
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引用次数: 0

摘要

对于维数为$m$的$LP$肯莫特流形(简写为${(LPK)_{m}}$),如果它允许巴赫几乎孤子$(g,\zeta,\lambda)$,我们探索了里奇算子的规范特征。此外,我们还研究了洛伦兹准肯莫特流形上的巴赫张量,以得到一个 $\eta$ 爱因斯坦流形。之后,我们证明了当三维洛伦兹准肯莫特流形具有巴赫近孤子时,巴赫近孤子 $(g,\zeta,\lambda)$ 总是稳定的。
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LP-Kenmotsu manifolds admitting Bach almost solitons
For an $LP$-Kenmotsu manifold of dimension $m$ (briefly, ${(LPK)_{m}}$) admitting Bach almost solitons $(g,\zeta,\lambda)$, we have explored the characteristics of norm of Ricci operator. Besides, we have studied the Bach tensor on Lorentzian para-Kenmotsu manifolds to have an $\eta$-Einstein manifold. Afterwards, we have proved that Bach almost solitons $(g,\zeta,\lambda)$ are always steady when, a Lorentzian para-Kenmotsu manifold of dimension-three has Bach almost solitons.
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