Bianchi identity


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Bianchi identity

[′byäŋ·kē ī′den·əd·ē]
(mathematics)
A differential identity satisfied by the Riemann curvature tensor: the antisymmetric first covariant derivative of the Riemann tensor vanishes identically.
References in periodicals archive ?
Now, with the generalized Bianchi identity for the electromagnetic field, i.
Now, more generally and more naturally, using the generalized Bianchi identity [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
1] and that both curvature tensors share common algebraic symmetries, the Bianchi identity in [S.