ON SPECIAL CLASS OF R-QUADRATIC FINSLER METRICS

In this paper a special class of R-quadratic generalized (\alpha, \beta)-metrics are considered. Some properties of this class are investigated. In special case, the Riemann curvature of this metrics is calculated. Moreover, it is proved that, in this class of metrics, there is not any (non-Riemannian) R-quadratic metrics of non-zero scalar curvature.