On Euclidean metric and related 1-forms of Berwald type

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

Keywords:

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