On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications

Abstract

The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form Σθ× fΣ⊥ in a locally conformal Kähler manifold. Using the concept of pointwise pseudo-slant, we establish the necessary and sufficient condition for it to be characterized as a warped product submanifold. In addition, we derive several results on pointwise pseudo-slant warped products that expand previously proven main ones. Further, some examples of such submanifolds and their warped products are also given.

Keywords

• warped products
• CR-submanifold warped product
• pointwise slant warped products
• locally conformal Kähler manifold