Inequalities for the class of warped product submanifold of para-cosymplectic manifolds

Document Type

Article

Publication Date

9-1-2022

Abstract

The aim of this paper is to study the warped product pointwise semislant submanifolds in the para-cosymplectic manifold with the semi-Riemannian metric. For which, firstly we provide the more generalized definition of pointwise slant submanifolds and related characterization results followed by the definition of pointwise slant distributions and pointwise semislant submanifolds. We also derive some results for different foliations on distribution, and lastly, we defined pointwise semislant warped product submanifold, given existence and nonexistence results, basic lemmas, theorems, and optimal inequalities for the ambient manifold.

Keywords

Slant submanifolds, Cr-submanifolds, Geometry

Divisions

Science

Funders

King Khalid University [R.G.P.2/130/43],Princess Nourah bint Abdulrahman University [PNURSP2022R27]

Publication Title

Advances in Mathematical Physics

Volume

2022

Publisher

Hindawi

Publisher Location

ADAM HOUSE, 3RD FLR, 1 FITZROY SQ, LONDON, W1T 5HF, ENGLAND

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