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
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (251 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

First chen inequality for biwarped product submanifold of a Riemannian space forms

Biswabismita Bag1, Meraj Ali Khan2( ), Tanumoy Pal3, Shyamal Kumar Hui1
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, West Bengal, India; your.bidisa123@gmail.com, skhui@math.buruniv.ac.in
Department of Mathematics and statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia
High School, Mankhamar, Bankura 722144, West Bengal, India; tanumoypalmath@gmail.com
Show Author Information

Abstract

Within this paper, we have formulated the first Chen inequality for bi-warped product sub-manifolds within Riemannian space forms. This inequality intricately involved extrinsic invariants such as mean curvature and the lengths of the warping functions, while also incorporating intrinsic invariants like sectional curvature and δ-invariants. Furthermore, we extensively explored and analyzed the scenarios where equality conditions were met within the context of this inequality.

Keywords

bi-warped productmean curvatureδ-invariantscalar curvatureminimal sub-manifoldsRiemannian space formssubmanifolds
CLC number: 53B25, 53C40, 53C42, 53Z05

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 4,
April 2025
Pages 9917-9932
DOI: 10.3934/math.2025454

{{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

Cite this Report
Close
Close
Cite this article:
Bag B, Khan MA, Pal T, et al. First chen inequality for biwarped product submanifold of a Riemannian space forms. AIMS Mathematics, 2025, 10(4): 9917-9932. https://doi.org/10.3934/math.2025454

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 22 January 2025
Revised: 12 April 2025
Accepted: 23 April 2025
Published: 15 April 2025
©2025 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)