On $\mathbf{\mathfrak{t}}$-hypersurfaces of Lorentzian para Kenmotsu manifolds

The main purpose of this paper is to study transversal hypersurface (briefly, $\mathfrak{T}$-hypersurface) of Lorentzian para Kenmotsu manifolds. It is proved that each $\mathfrak{T}$-hypersurface of Lorentzian almost paracontact manifold admits an almost product Lorentzian metric structure $(J,G)$. After that, we show that every $\mathfrak{T}$-hypersurface of Lorentzian almost paracontact manifold also admits a Lorentzian $(f,g,\mu,\nu, \lambda)$-structure and we derive some results allied with relationship between induced almost product Lorentzian metric structure $(J,G)$ and induced Lorentzian $(f,g,\mu,\nu, \lambda)$-structure. Example of $\mathfrak{T}$-hypersurface of Lorentzian para Kenmotsu manifold admitting Lorentzian $(f,g,\mu,\nu, \lambda)$-structure is also illustrated.