Chapter 4 • Curves in Space: Global Properties



4.1: Basic Properties


Definition 4.1.1: Closed


Definition 4.1.1: Simple






4.2: Indicatrices and Total Curvature


Definition 4.2.1: Tangent, Principal, and Binormal Indicatrices


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Definition 4.2.5 & Theorem 4.2.6: Total Curvature & Fenchel's Theorem


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Lemma 4.2.7: Horn's Lemma



Theorem 4.2.9: Jacobi's Theorem






4.3: Knots and Links


Definition 4.3.3: Linking Number


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