报告摘要:In this talk, I will discuss several notions of Ricci curvature (tensor) of Finsler metrics. I will mainly discuss their geometric meanings and their relationships. It is not clear which one has a better physical meaning for a non-quadratic (Finalerian) spacetime. But I will derive an Einstein field equation using one of the Ricci curvature tensor for Finsler metrics of Berwald type.