Ricci identities

Ricci identities

[′rē‚chē ī‚den·ə·dēz]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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(It is also clear from (1) that [Omega] is the curvature form of the connection in the line bundle D, induced by the Levi-Civita connection of g.) Being unique, [Omega] is parallel, and so are [rho] and W, which implies the Ricci identities R * [Omega] = 0, R * [rho] = 0, and R * W = 0.