The product of the principal curvatures of a surface in Euclidean 3 space, though defined extrinsically, is actually an intrinsic quantity, the Gauss curvature. This is the Theorem Egregium.(adsbygoogle = window.adsbygoogle || []).push({});

What about the product of the principal curvatures for higher dimensional hypersurfaces?

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# Intrinsic extrinsic

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