Geometric inequalities of $ \mathcal{PR} $-warped product submanifold in para-Kenmotsu manifold-Reference-Cited by-同舟云学术

Geometric inequalities of $ \mathcal{PR} $-warped product submanifold in para-Kenmotsu manifold

Published:2022 Issue:10 Volume:7 Page:19481-19509
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mofarreh Fatemah¹,Srivastava S. K.²,Kumar Anuj²,Ali Akram³

Affiliation:

1. Mathematical Science Department Faculty of Science Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia

2. Department of Mathematics, Central University of Himachal Pradesh, Dharamshala 176215, Himachal Pradesh, India

3. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

Abstract

<abstract><p>The main purpose of this paper is to study the properties of $ \mathcal{PR} $-semi-invariant submanifold of para-Kenmotsu manifold. We obtain the integrability conditions for the invariant distribution and anti-invariant distribution. We obtain some existence and non-existence results of $ \mathcal{PR} $-semi-invariant warped product submanifolds. We provide some necessary and sufficient conditions for $ \mathcal{PR} $-semi-invariant submanifold to be a $ \mathcal{PR} $-semi-invariant warped product submanifold in para-Kenmotsu manifold. We also derive some sharp inequalities for $ \mathcal{PR} $-semi-invariant warped product submanifold in para-Kenmotsu manifolds.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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