Complete Ricci-Bourguignon solitons on Finsler manifolds

Document Type : Original Article


Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran. E-mail:,


In this paper, we study Ricci-Bourguignon soliton on Finsler manifolds and prove any forward complete shrinking Finslerian Ricci-Bourguignon soliton under some conditions on vector filed and scalar curvature is compact and its fundamental group is finite.