In this paper, we introduce the notion of radical transversal screen Cauchy-Riemann (SCR)- lightlike submanifolds indefinite Sasakian manifolds giving characterization theorem with some nontrivial examples such submanifolds. Integrability conditions distributions D1, D2, D and D? on SCR-lightlike an manifold have been obtained. Further, obtain necessary sufficient for foliations determined by a...

In this study, we introduce indefinite sasakian statistical manifolds and lightlike hypersurfaces of an manifold. Some relations among induced geometrical objects with respect to dual connections in a hypersurface manifold are obtained. examples related these concepts also presented. Finally, prove that invariant submanifold is

The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemanian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation in view of general relativity. In particular, the mathematical notion of totally umbilic submanifol...

We present a Weierstrass-type representation formula which locally represents every regular two-dimensional lightlike surface in Lorentz-Minkowski 4-Space $\mathbb{M}^4$ by three dual functions $(\rho,f,g)$ and generalizes the for surfaces $\mathbb{M}^3$. give necessary sufficient conditions on $\rho$, $f$, $g$ to be minimal, ruled or $l$-minimal. For surfaces, we itself ruled. Furthermore, res...

In this study, we study rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space. We find the about spacelike axis according to Gaussian and mean curvatures $E_{1}^{4}$ give some results with aid of curvatures. After that, deal Gauss map hypersurface by obtaining obtain second third Laplace-Beltrami operators on $E_{1}^{4}$. Also, these characterizations for timelike lightlike axes, too.

Abstract We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of manifold determines v on hypersurface that is the component Reeb tangential to hypersurface, and it also gives rise smooth function σ namely projection unit normal N . Moreover, we have second tangent given by $\mathbf{u}=-\varphi (N)$ <mml...

We deposit a prescribed amount of liquid on an umbilical hypersurface of the hyperbolic space Hn+1. Under the presence of a uniform gravity vector field directed towards , we seek the shape of such a liquid drop in a state of equilibrium of the mechanical system. The liquid-air interface is then modeled by a hypersurface under the condition that its mean curvature is a function of the distance ...

In this paper, we introduce and examine invariant semi-invariant lightlike submanifolds of a poly-Norden semi-Riemannian manifold. Also, obtain some examples such types study the conditions for both integrability totally geodesic foliation description distributions.