Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds

TL;DR

This paper introduces and studies warped product pointwise bi-slant submanifolds within locally product Riemannian manifolds, providing characterization results and examples to deepen understanding of their geometric structure.

Contribution

It defines the concept of pointwise bi-slant submanifolds and explores their warped product structures, offering new theoretical insights and explicit examples.

Findings

Characterization results for warped product pointwise bi-slant submanifolds

Existence of non-trivial examples of such submanifolds

Enhanced understanding of their geometric properties

Abstract

In this paper we introduce the concept of pointwise bi-slant submanifolds of locally product Riemannian manifolds and studied warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. We obtain some characterization results for warped products pointwise bi-slant submanifolds. Also, we provide some non-trivial examples of such warped product submanifolds.