Gauss-Codazzi equation

English

Etymology

Named after Carl Friedrich Gauss and Delfino Codazzi.

Noun

Gauss-Codazzi equation (plural Gauss-Codazzi equations)

1. (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.