On Lorentzian $\beta$-{K}enmotsu manifolds admitting Schouten-van Kampen connection

The present article aims to study the Lorentzian $\beta$-{K}enmotsu manifolds ($\mathcal M_\beta$) admitting the Schouten-van Kampen connection (in brief, SVKC). We study $\mathcal M_\beta$ satisfying $\zeta$-concircularly flat and $\varphi$-concircularly flat conditions admitting SVKC. Also, we study $\mathcal M_\beta$ admitting the SVKC satisfying $\widetilde{C} \cdot \widetilde{S}=0$. We also deal the locally $\varphi$-Ricci symmetric $\mathcal M_\beta$ with respect to the SVKC. Further, we discussed almost Ricci solitons on $\mathcal M_\beta$ admitting SVKC. Finally, we have given an example of $\mathcal M_\beta$ admitting a SVKC which verifies some of our results.