Ricci equations

Ricci equations

[′rē‚chē i‚kwā·zhənz]
(mathematics)
Equations relating the components of the Ricci tensor, the curvature tensor, and an arbitrary tensor of a Riemann space. Also known as Ricci identities.
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References in periodicals archive ?
In fact, the Codazzi equations imply all three equations above, while the Gauss and Ricci equations coincide with (2.9) and (2.11) respectively.
The Gauss and Ricci equation are, respectively, given by
In section 2 we expound the Gauss, Codazzi and Ricci equations for an [V.sub.4] embedded into [E.sub.6].
These are the Gauss, Codazzi and Ricci equations (GCRE), which constitute an algebraic and di[alpha]erential system which usually is not very easy to solve to obtain the three important quantities for the embedding process, namely, the two second fundamental form tensors and the Ricci vector.