Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

Ali H. Alkhaldi, Pişcoran Laurian-Ioan, Izhar Ahmad and Akram Ali
Additional contact information
Ali H. Alkhaldi: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Pişcoran Laurian-Ioan: North University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, 430122 Baia Mare, Romania
Izhar Ahmad: Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Akram Ali: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

Mathematics, 2022, vol. 10, issue 2, 1-18

Abstract: In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold M n in a complex projective space is presented. Some characterizations of the base N T of M n are offered as applications. We also look at whether the base N T is isometric to the Euclidean space R p or the Euclidean sphere S p , subject to some constraints on the second fundamental form and warping function.

Keywords: warped products; complex projective spaces; Dirichlet energy; Ricci curvature; ordinary differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/2/244/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/2/244/ (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:10:y:2022:i:2:p:244-:d:723964

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 ().