Differential structure on the $κ$-Minkowski spacetime from twist
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We study four dimensional $κ$-Minkowski spacetime constructed by the twist deformation of $U(igl(4,R))$. We demonstrate that the differential structure of such twist-deformed $κ$-Minkowski spacetime is closed in four dimensions contrary to the construction of $κ$-Poincaré bicovariant calculus which needs an extra fifth dimension. Our construction holds in arbitrary dimensional spacetimes.
8pages, no figures, references added,minor corrections
8pages, no figures, references added,minor corrections