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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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 |
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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 |
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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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1776247433024503808 |