Analysis of the Quasi-Concircular Curvature Tensor on Sequential Warped Product Manifolds

Rajesh Kumar, Sameh Shenawy (), Johnson Lalrohlua, Hanan Alohali () and Carlo Mantica
Additional contact information
Rajesh Kumar: Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India
Sameh Shenawy: Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11742, Egypt
Johnson Lalrohlua: Department of Mathematics and Computer Science, Mizoram University, Tanhril, Aizawl 796004, India
Hanan Alohali: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Carlo Mantica: Physics Department Aldo Pontremoli, Universita degli Studi di Milano and I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milano, Italy

Mathematics, 2025, vol. 13, issue 18, 1-22

Abstract: This paper investigates the quasi-concircular curvature tensor on sequential warped product manifolds, which extend the classical singly warped product structure. We examine various curvature conditions associated with this tensor, including quasi-concircular flatness, quasi-concircular symmetry, and the divergence-free quasi-concircular condition, and we explore the properties of related soliton structures. In addition, we analyze the implications of these results in Lorentzian geometry by deriving explicit expressions for the Ricci tensor and scalar curvature of the considered manifolds. The study concludes with an illustrative example that emphasizes the geometric significance and potential applications of the investigated structures.

Keywords: sequential warped product; generalized quasi Einstein manifold; conformal gradient soliton; Ricci soliton; quasi-concircular curvature tensor; Lorentzian geometry (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/18/3042/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/18/3042/ (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:13:y:2025:i:18:p:3042-:d:1754401

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 ().