Some Results of Ricci Bi-Conformal Vector Fields
نویسندگان
1 Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, I. R. Iran
2 Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, I. R. Iran
doi
10.22052/mir.2025.256100.1494چکیده
The investigation of Ricci bi-conformal vector fields and their associated outcomes is crucial for gaining insights into the geometric and topological characteristics of the underlying manifolds. The study of conformal vector fields and their extensions is highly valuable in the realms of geometry and physics. In this manuscript, we study the topological properties of the Ricci bi-conformal vector field. The goal of this paper is to find some results of the Ricci bi-conformal vector fields. We prove that a complete manifold admits the Ricci bi-conformal vector fields has a finite fundamental group. For this purpose, we first state the definition and lemma, and then use them to prove our theorems.
