Work

Characterizing ϕ (Ric)‐Vector Fields and Quasi‐Einstein Manifolds on Multiply Warped Product Manifolds

Year: 2025

Type: article

Abstract: We characterize multiply warped product manifolds with ϕ (Ric)‐vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕ (Ric)‐vector field. In terms of physical applications, the multiply generalized Robertson–Walker spacetime is considered. Moreover, we investigate the effect of the quasi‐Einstein condition on the factor manifolds of a multiply product. Additionally, it obtains conditions for a multiply warped product manifold satisfying the quasi‐Einstein condition to be a direct product manifold.

Source: International Journal of Mathematics and Mathematical Sciences

DOI: 10.1155/ijmm/5841429

Authors: Moctar Traore, Ameth Ndiaye, Mansour Sane

Institutions: Istanbul University, Cheikh Anta Diop University, Ziguinchor University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,240

OpenAlex ID: W4408482017

FWCI: 0.891

Cites: 20

Cited by: 1

Related to: 10