MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
A NEW CLASS OF FINSLER METRICS
T. Rajabi, N. Sadeghzadeh

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.

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

MSC: 53B40, 53C60

Pages:  1--13     

Volume  73 ,  Issue  1 ,  2021