On projectively related Finsler gradient Ricci solitons

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Document Type : Original Article

Authors

School of Mathematical Sciences Chongqing Normal University, Chongqing, China

Abstract

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.

Keywords

Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 22 July 2024

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