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FlatRules

FlatRules[cd]
returns replacement rules for the curvature tensors of cd on a symmetric space of zero curvature.
FlatRules[expr]
returns replacement rules for the curvature tensors of cd on a symmetric space of zero curvature for all curvature tensors found in expr.
  • FlatRules also sends partial derivatives of metrics to zero.
  • FlatRules doesn't send covariant derivatives to partial derivatives.