On projectively related Finsler gradient Ricci solitons

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.

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References

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Journal of Finsler Geometry and its Applications
Volume 5, Issue 2
December 2024
Pages 30-47

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