SLANT SUBMANIFOLDS OF AN ALMOST PRODUCT RIEMANNIAN MANIFOLD

Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

Warped Product Semi-Invariant Submanifolds in Almost Paracontact Riemannian Manifolds

We show that there exist no proper warped product semi-invariant submanifolds in almost paracontact Riemannian manifolds such that totally geodesic submanifold and totally umbilical submanifold of the warped product are invariant and anti-invariant, respectively. Therefore, we consider warped product semi-invariant submanifolds in the form N N⊥×fNT by reversing two factor manifolds NT and N⊥. W...

Warped Product Submanifolds of Riemannian Product Manifolds

and Applied Analysis 3 where TX and NX are the tangential and normal components of FX, respectively, and for V ∈ T⊥M,

Relative Isoperimetric Inequality for Minimal Submanifolds in a Riemannian Manifold

Let Σ be a domain on an m-dimensional minimal submanifold in the outside of a convex set C in S or H. The modified volume M Σ is introduced by Choe and Gulliver 1992 and we prove a sharp modified relative isoperimetric inequality for the domain Σ, 1/2 mωmM Σ m−1 ≤ Volume ∂Σ−∂C , where ωm is the volume of the unit ball of R. For any domain Σ on a minimal surface in the outside convex set C in an...

Warped product pseudo-slant submanifolds of nearly Kaehler manifolds

In this paper, we study warped product pseudo-slant submanifolds of nearly Kaehler manifolds. We prove the non-existence results on warped product submanifolds of a nearly Kaehler manifold.