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: Total Curvature

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Theorem 4.2.6: Fenchel's Theorem

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Lemma 4.2.7: Horn's Lemma

Theorem 4.2.9: Jacobi's Theorem

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4.3: Knots and Links

Definition 4.3.3: Linking Number

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