The Homology of Warped Product Submanifolds of Spheres and Their Applications

Lamia Saeed Alqahtani, Akram Ali, Pişcoran Laurian-Ioan () and Ali H. Alkhaldi
Additional contact information
Lamia Saeed Alqahtani: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Akram Ali: Department of Mathematics, King Khalid University, Abha 9004, Saudi Arabia
Pişcoran Laurian-Ioan: Department of Mathematics and Computer Science Victoriei 76, North Center of Baia Mare Technical University of Cluj Napoca, 430122 Baia Mare, Romania
Ali H. Alkhaldi: Department of Mathematics, King Khalid University, Abha 9004, Saudi Arabia

Mathematics, 2023, vol. 11, issue 15, 1-13

Abstract: The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σ β 1 + β 2 in a unit sphere S d that provides trivial homology and fundamental groups. We also validate the instability of current flows in π 1 ( Σ β 1 + β 2 ) . The constraints are also applied to the warped function eigenvalues and integral Ricci curvatures.

Keywords: warped product submanifolds; standard sphere; homology groups; fundamental group; stable currents (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/15/3405/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/15/3405/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:15:p:3405-:d:1210511

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().