On projectively related spherically symmetric metrics in Finsler geometry

Inspired by the notion of projectively related spherically symmetric metrics, we study the class of Finsler metrics whose geodesics have the same shape with a difference in rotation or reflection of their graphs. This class of metrics contains the class of projectively related Finsler metrics. First, we characterize the class of Randers metrics, ( α, β )-metrics and spherically symmetric metrics in this class of metrics

Keywords:

Projectively related metrics , ( α , β )-metrics , spherically symmetric metric