Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 33, No. 2, pp. 349-365 (2017)

A class of Berwaldian Finsler metrics

Bahman Rezaei and Mehran Gabrani

Urmia University

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

Keywords: Projectively flat metric, Berwald metric, Douglas metric

Classification (MSC2000): 53C60; 53C25

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