On Randers spaces of scalar curvature

Randers spaces of scalar curvature or of constant curvature have not yet been studied completely because of the complicated forms of the connection coefficients and the curvature tensors. A necessary and sufficient condition for a Randers space to be of scalar curvature, found under some assumptions by this time, is given in this paper. Also a condition for the space to be of constant curvature, found previously in a complicated form, is given in simple form with a geometrical meaning. It is shown that a Randers space is locally Minkowskian if and only if it is a space of vanishing constant curvature.