Abstract

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.

Keywords: Finsler geometry; $(F,\beta)$-metric; $h$-vector; projective change; Douglas space.

MSC: 53B40, 53C60

Pages:  1$-$13     

Volume  73 ,  Issue  1 ,  2021