On Square-type Finsler Metrics of Vanishing Flag Curvature

Document Type : Original Article


Department of Mathematics, Faculty of Science, University of Qom Qom. Iran


In this paper, we construct a family of Finsler metrics, called square-type Finsler metrics. We obtain the  flag curvature of this metric. Then we  find a necessary and sufficient condition under which the  flag curvature of square-type Finsler metrics becomes zero.