Abstract
We extend to the isotropic case, by adapted non-holonomic techniques 2nd-order properties of a relativistic frame of reference, generalized in the polar sense: Riemann and gravitational tensors decomposition, Lie derivative of the Ricci rotation coefficients, commutation formulas and finally Bianchi identity. All the decompositions tensors are formally invariant (as regards the standard case), by means of the longitudinal derivative extension.
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