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We found one dictionary that defines the word Gauss-Codazzi equation:

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  1. Gauss-Codazzi equation: Wiktionary

Definitions from Wiktionary (Gauss-Codazzi equation)

noun:  (geometry) Any of a group of fundamental formulas in Riemannian and pseudo-Riemannian geometry that link together the induced metric and second fundamental form of a submanifold of (or immersion into) a Riemannian or pseudo-Riemannian manifold.

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