Characterizations of <inline-formula><math display="inline"><semantics><mi mathvariant="script">PR</mi></semantics></math></inline-formula>-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base

Abstract

In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold. We derived the necessary and sufficient conditions for a PR-pseudo-slant submanifold of para-Kenmotsu manifold to be a PR-pseudo-slant warped product which are in terms of warping functions and shape operator. Some examples of PR-pseudo-slant warped products of para-Kenmotsu manifold are also illustrated in the article.

Keywords

• paracontact manifold
• para-Kenmotsu manifold
• pseudo-slant submanifold
• warped product