Roughly speaking, an ideal immersion of a Riemannian manifold into a space form is an isometric immersion which produces the least possible amount of tension from the ambient space at each point of the submanifold. Recently, B.-Y. Chen studied Lagrangian submanifolds in complex space forms which are ideal. He proved that such submanifolds are minimal. He also classified ideal Lagrangian submani...

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.

Recently, we have studied and obtained some results on slant submanifolds of Kenmotsu manifolds [9, 10]. In this paper we study the slant submanifold of a Kenmotsu manifold when structure tensor field φ is Killing and obtain some interesting results. AMS Mathematics Subject Classification (2000): 53C25, 53C40

Warped product manifolds provide excellent setting to model space-time near black holes or bodies with large gravitational force (cf. [1], [2], [14]). Recently, results are published exploring the existence (or non-existence) of warped product submanifolds in Kaehlerian and contact settings (cf. [6], [17], [20]). To continue the sequel, we have considered warped product submanifolds of nearly K...

In this paper, we study slant helix using modified orthogonal frame in Minkowski space E31 with timelike, lightlike and spacelike axes. We also a general the Killing vector field axis. Furthermore, give non-trivial example find relations for curvature torsion of f-biharmonic helix.

In this study, we investigate the differential geometry of contact pseudo-slant submanifolds a (LCS)n -manifold. The necessary and sufficient conditions for (LCS)n-manifold are given.