Last Updated
：2025/12/04
shape operator
Noun
Japanese Meaning
微分幾何学において、ある向き付けされた曲面の特定の点におけるガウス写像の微分として定義される線型作用素で、曲面の局所的な曲率の性質や変化を表す。
（ plural ）
Quizzes for review
(geometry, differential geometry) The differential of the Gauss map of an oriented surface at a given point on the surface.
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shape operator
At each point of the oriented surface, the shape operator determines the curvature properties relative to the chosen unit normal.
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At each point of the oriented surface, the shape operator determines the curvature properties relative to the chosen unit normal.
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