AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
PDF (246.6 KB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Generalized warped product submanifolds of Lorentzian concircular structure manifolds

Tanumoy Pal1Ibrahim Al-Dayel2Meraj Ali Khan2( )Biswabismita Bag3Shyamal Kumar Hui3Foued Aloui2
A. M. J. High School, Mankhamar, Bankura-722144, West Bengal, India
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan-713104, West Bengal, India
Show Author Information

Abstract

We began by considering invariant, anti-invariant, proper slant, and pointwise slant submanifolds of a Lorentzian concircular structure manifold. Subsequently, we explored two distinct categories of warped product submanifolds. The first category encompassed the fiber submanifold as an anti-invariant submanifold, while the second category included the fiber submanifold as a pointwise slant submanifold. We established several fundamental results concerning these submanifold classes. Additionally, we demonstrated the existence of such submanifold classes through specific examples. Moreover, we derived inequalities for the squared norm of the second fundamental form.

CLC number: 53C15, 53C25, 53C40

References

【1】
【1】
 
 
AIMS Mathematics
Pages 17997-18012

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Close
Close
Cite this article:
Pal T, Al-Dayel I, Khan MA, et al. Generalized warped product submanifolds of Lorentzian concircular structure manifolds. AIMS Mathematics, 2024, 9(7): 17997-18012. https://doi.org/10.3934/math.2024877

79

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus

Received: 15 March 2024
Revised: 14 May 2024
Accepted: 15 May 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)