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第19講 The Gauss Map and Its Fundamental Properties (cont.)
課程影音
L19_A
L19_A
1. Motivation: The Curvature of a Surface Is
Characterized by the Differential of Gauss Map
2. Example: Cylinder
L19_B
1. Definition: Self-Adjoint Linear Map
2. Proposition: The Differential of Gauss Map Is a Self-Adjoint Linear Map
3. Definition: The Second Fundamental Form
2. Proposition: The Differential of Gauss Map Is a Self-Adjoint Linear Map
3. Definition: The Second Fundamental Form
L19_C
1. Definition: Normal Curvature
2. Derivation: The Geometric Meaning of the Second Fundamental Form
2. Derivation: The Geometric Meaning of the Second Fundamental Form
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