On Projectively Flat Finsler Space with a cubic ($\alpha, \beta $) Metric

Abstract

In the present paper, we have considered a cubic $ (\alpha, \beta) $ metric which is an special class of p-power finsler metric, and obtained the conditions under which the Finsler space with such special metric will be projectively flat. Further, we also obtain in which case this Finsler space will be a Berwald space and Douglas space.