Gauss-Codazzi equation

noun

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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Meanings

nounGauss-Codazzi equation (plural Gauss-Codazzi equations)

plural Gauss-Codazzi equations

  1. geometryAny 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.

Origin

Named after Carl Friedrich Gauss and Delfino Codazzi.

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Cite this entry
APA

Gauss-Codazzi equation. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Gauss-Codazzi%20equation

MLA

“Gauss-Codazzi equation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Gauss-Codazzi%20equation. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Gauss-Codazzi equation,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Gauss-Codazzi%20equation.

Source: Gauss-Codazzi equation on Wiktionary, CC BY-SA 4.0.