About Gauss–Codazzi equations

In Riemannian geometry and pseudo-Riemannian geometry, the Gauss–Codazzi equations are fundamental formulas that link together the induced metric and second fundamental form of a submanifold of a Riemannian or pseudo-Riemannian manifold.

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Gauss–Codazzi equations

Fundamental formulas linking the metric and curvature tensor of a manifold

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About Gauss–Codazzi equations

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Facts from Wikidata (CC0).