On projectively related Finsler gradient Ricci solitons

In this paper, we study pointwise projectively related Finsler gradient Ricci solitons. We obtain an equation that characterizes the relationship between two pointwise projectively related Finsler gradient Ricci solitons. Further, if two Finsler gradient Ricci solitons (M, F, dVF) and (M, F, dVF) satisfy  some conditions,  we characterize their relationships along the geodesics. In particular, if two Finsler gradient Ricci solitons are both complete, then (M, F, dVF) is expanding or shrinking and (M, F, dVF) is shrinking.

کلیدواژه ها:

Finsler metric ، Finsler gradient Ricci soliton ، projectively related Finsler metrics ، S-curvature ، weighted Ricci curvature