The Homology of Warped Product Submanifolds of Spheres and Their Applications-Reference-Cited by-同舟云学术

The Homology of Warped Product Submanifolds of Spheres and Their Applications

Published:2023-08-04 Issue:15 Volume:11 Page:3405
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Alqahtani Lamia Saeed¹^ORCID,Ali Akram²^ORCID,Laurian-Ioan Pişcoran³^ORCID,Alkhaldi Ali H.²

Affiliation:

1. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, King Khalid University, Abha 9004, Saudi Arabia

3. Department of Mathematics and Computer Science Victoriei 76, North Center of Baia Mare Technical University of Cluj Napoca, 430122 Baia Mare, Romania

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 Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups. We also validate the instability of current flows in π1(Σβ1+β2). The constraints are also applied to the warped function eigenvalues and integral Ricci curvatures.

Funder

Deanship of Scientific Research at King Khalid University, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/15/3405/pdf

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