Hassan Sadeghi - Faculty of Science, Department of Mathematics University of Qom, Qom, Iran E-mail: sadeghihassan۶۴@gmail.com
Morad Bahadori - Faculty of Science, Department of Mathematics University of Qom, Qom, Iran. Email: E-mail: moradbahadori۳@gmail.com

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

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