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 (221.1 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

Investigating the characteristics of Clifford hypersurfaces and the unit sphere via a minimal immersion in Sn+1

Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University(IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia
Show Author Information

Abstract

In this article, we find the different sufficient conditions for a compact minimal hypersurface M of the unit sphere Sn+1,n∈Z+ to be the Clifford hypersurface Sℓ(ℓn)×Sm(mn), where ℓ,m∈Z+,ℓ+m=n or the sphere Sn. This classification is achieved by applying constraints to the tangent and normal components of the immersion.

Keywords

hypersurfaceminimal hypersurfaceClifford hypersurfaceconformal vector fieldcurvature tensor fieldRicci operator
CLC number: 53C05, 53C20, 53C40

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 26951-26960
DOI: 10.3934/math.20241311

{{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:
Al-dayel I. Investigating the characteristics of Clifford hypersurfaces and the unit sphere via a minimal immersion in Sn+1. AIMS Mathematics, 2024, 9(10): 26951-26960. https://doi.org/10.3934/math.20241311

298

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 02 July 2024
Revised: 06 September 2024
Accepted: 10 September 2024
Published: 15 October 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)