ON SPECIAL CLASS OF R-QUADRATIC FINSLER METRICS

Document Type : Original Article

Author

Department of Mathematics, Faculty of Science, University of Qom, Qom. Iran

Abstract

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.

Keywords