On generalized Einstein metrics in Finsler geometry

摘要

In this paper we define the generalized Einstein metrics in Finsler geom-etry by Cartan connection and study the geometrical properties of such Finsler metrics.Further, by use of the theory of Y-Riemannian metrics, we discuss the curvature prop-erties of the Y-Riemannian space induced from a vector field which is determined byβand a in a generalized Einstein (α,β)-space.