A STUDY ON THE CONTRACTED ES CURVATURE TENSOR IN g−ESX_n

Abstract

This paper is a direct continuation of [1]. In this paper we derive tensorial representations of contracted ES curvature tensors of g−ESX_n and prove several generalized identities involving them. In particular, a variation of the generalized Bianchi’s identity in g−ESX_n, which has a great deal of useful physical applications, is proved in Theorem (2.9).