 Gauss–Codazzi equations (source code)

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= Gauss–Codazzi equations
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The Gauss–Codazzi equations relate the intrinsic curvature and connection of an <embedded submanifold> to its <second fundamental form> and the ambient curvature. The <Gauss equation> controls tangential curvature; the <Codazzi equation> controls the covariant derivative of the <second fundamental form>. The <Gauss formula> is the tangential-normal splitting used to derive these relations.

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