  The aim of the present paper is to provide an intrinsic investigation of two
special Finsler spaces whose defining properties are related to Berwald
connection, namely, Finsler space of scalar curvature and of constant
curvature. Some characterizations of a Finsler space of scalar curvature are
proved. Necessary and sufficient conditions under which a Finsler space of
scalar curvature reduces to a Finsler space of constant curvature are
investigated.
