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

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...

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Main Authors: Mofarreh, Fatemah, Srivastava, Sachin Kumar, Dhiman, Mayrika, Othman, Wan Ainun Mior, Ali, Akram
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Published: Hindawi 2022
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Online Access:http://eprints.um.edu.my/41085/
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spelling my.um.eprints.410852023-08-30T06:39:57Z http://eprints.um.edu.my/41085/ Inequalities for the class of warped product submanifold of para-cosymplectic manifolds Mofarreh, Fatemah Srivastava, Sachin Kumar Dhiman, Mayrika Othman, Wan Ainun Mior Ali, Akram QA Mathematics QC Physics 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. Hindawi 2022-09 Article PeerReviewed Mofarreh, Fatemah and Srivastava, Sachin Kumar and Dhiman, Mayrika and Othman, Wan Ainun Mior and Ali, Akram (2022) Inequalities for the class of warped product submanifold of para-cosymplectic manifolds. Advances in Mathematical Physics, 2022. ISSN 1687-9120, DOI https://doi.org/10.1155/2022/7270446 <https://doi.org/10.1155/2022/7270446>. 10.1155/2022/7270446
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Mofarreh, Fatemah
Srivastava, Sachin Kumar
Dhiman, Mayrika
Othman, Wan Ainun Mior
Ali, Akram
Inequalities for the class of warped product submanifold of para-cosymplectic manifolds
description 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.
format Article
author Mofarreh, Fatemah
Srivastava, Sachin Kumar
Dhiman, Mayrika
Othman, Wan Ainun Mior
Ali, Akram
author_facet Mofarreh, Fatemah
Srivastava, Sachin Kumar
Dhiman, Mayrika
Othman, Wan Ainun Mior
Ali, Akram
author_sort Mofarreh, Fatemah
title Inequalities for the class of warped product submanifold of para-cosymplectic manifolds
title_short Inequalities for the class of warped product submanifold of para-cosymplectic manifolds
title_full Inequalities for the class of warped product submanifold of para-cosymplectic manifolds
title_fullStr Inequalities for the class of warped product submanifold of para-cosymplectic manifolds
title_full_unstemmed Inequalities for the class of warped product submanifold of para-cosymplectic manifolds
title_sort inequalities for the class of warped product submanifold of para-cosymplectic manifolds
publisher Hindawi
publishDate 2022
url http://eprints.um.edu.my/41085/
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