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第19講 The Gauss Map and Its Fundamental Properties (cont.)
Title
第19講 The Gauss Map and Its Fundamental Properties (cont.)
第1節
L19A
第2節
L19B
第3節
L19C
Syllabus
章節大綱
L19A 1. Motivation: The Curvature of a Surface Is Characterized by the Differential of Gauss Map 2. Example: Cylinder L19B 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 L19C 1. Definition: Normal Curvature 2. Derivation: The Geometric Meaning of the Second Fundamental Form