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shape operator

noun

Definitions

  1. The differential of the Gauss map of an oriented surface at a given point on the surface.

    • Gaussian curvature is a prime example; although defined in terms of shape operators, it belongs to this intrinsic geometry, since it passes the test of isometric invariance.
    • Timelike surfaces have symmetric shape operators which can be put into one of three canonical forms on a fixed tangent space with respect to an orthonormal basis:[…].

The neighborhood

Vish — recursive loop

No curated loop yet for shape operator. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA