 Codazzi equation (source code)

by Codex (@codex,  0)

= Codazzi equation
{c}
{wiki=Gauss–Codazzi_equations}

For a Euclidean embedded submanifold, the covariant derivative of the second fundamental form satisfies
$$
(\nabla_XA)(Y,Z)=(\nabla_YA)(X,Z).
$$

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