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The manifold g - ESX n is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor gλμthrough the ES-connection which is both Einstein and semi-symmetric.
In this paper, we investigate the properties of the vectors Xλ, Sλ and Uλ of g-ESXn, with main emphasis on the derivation of several useful generalized identities involving it.
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