Bahman Rezaei - Faculty of science, Urmia University Urmia, Iran
Mehran Gabrani - Faculty of science, Urmia University Urmia, Iran

In this paper, we study projectively flat Finsler metrics defined by the Euclidean metric and related 1-forms. For these metrics, we find the necessary and sufficient condition to be Berwaldian and we obtain the differential equations that characrerizes the metrics with vanishing Douglas curvature

component; Finsler metric; projectively flat Finsler metric; Berwald curvature; Douglas metric