Some Results of Ricci Bi-Conformal Vector Fields | ||
| Mathematics Interdisciplinary Research | ||
| دوره 10، شماره 3، آذر 2025، صفحه 245-250 اصل مقاله (540.14 K) | ||
| نوع مقاله: Original Scientific Paper | ||
| شناسه دیجیتال (DOI): 10.22052/mir.2025.256100.1494 | ||
| نویسندگان | ||
| Mahin Sohrabpour* ؛ Shahroud Azami | ||
| Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, I. R. Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Ricci bi-conformal vector field؛ Fundamental group؛ Complete manifold | ||
| مراجع | ||
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