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 ?
Assume that the mean curvature form is bounded and coclosed.
B] is the basic part of the mean curvature form K of F [1].
It can be rewritten in a zero curvature form for 2 x 2-matrices as follows: consider the matrices
m]}, we call this last set of equations also the zero curvature form of the AKNS hierarchy.
The zero curvature form of both hierarchies points at the possible existence of a linear system of which the zero curvature equations form the compatibility conditions.
for which the corresponding curvature form of mobility may simply be given by
Introducing a corresponding internal ("isotopic") curvature form through