# On the projectively flat finsler space with a special $(alpha,beta)$-metric

• Kim, Byung-Doo (Department of Mathematics Kyungpook Sanup University)
• Published : 1996.04.01

#### Abstract

The $(\alpha, \beta)$-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-form $\Beta$; it has been sometimes treat in theoretical physics. In particular, the projective flatness of Finsler space with a metric $L^2 = 2\alpha\beta$ is considered in detail.