Shahroud Azami - Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran. E-mail: azami@sci.ikiu.ac.ir, shahrood۷۸@gmail.com

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.

Finsler metric, Ricci-Bourguignon soliton, fundamental group