A new class of Finsler metrics

T. Rajabi, N. Sadeghzadeh

In this paper, we construct a new class of Finsler metrics which are not always $(\alpha,\beta)$-metrics. We obtain the spray coefficients and Cartan connection of these metrics. We have also found a necessary and sufficient condition for them to be projective. Finally, under some suitable conditions, we obtain many new Douglas metrics from the given one.