Resumen de On generalized Einstein metrics in Finsler geometry

Guojun Yang, Xinyue Cheng

• In this paper we de¯ne the generalized Einstein metrics in Finsler geometry by Car- tan connection and study the geometrical properties of such Finsler metrics. Further, by use of the theory of Y -Riemannian metrics, we discuss the curvature properties of the Y -Riemannian space induced from a vector ¯eld which is determined by ¯ and ® in a generalized Einstein (®; ¯)-space.