Last Updated
：2025/12/03
Gauss map
Noun
Japanese Meaning
向き付けされた曲面上の各点において、その点における法線（単位ベクトル）を対応させる、ユークリッド空間内の単位球面への写像
（ plural ）
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(geometry, differential geometry) A map from a given oriented surface in Euclidean space to the unit sphere which maps each point on the surface to a unit vector orthogonal to the surface at that point.
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Gauss map
To study curvature properties, the mathematician examined the Gauss map of the oriented surface and analyzed how it distorted areas on the unit sphere.
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To study curvature properties, the mathematician examined the Gauss map of the oriented surface and analyzed how it distorted areas on the unit sphere.
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