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Chapter 19The Exterior Derivative
Contents:1. Exterior Derivative on a Coordinate Chart2. Local Operators3. Extension of a Local Form to a Global Form 4. Existence of an Exterior Differentiation 5. Uniqueness of Exterior Differentiation 6. The Restriction of a k-Form to a Submanifold 7. A Nowhere-Vanishing 1-Form on the Circle 8. Exterior Differentiation Under a Pullback Problems
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19.1 Exterior Derivative on a Coordinate Chart
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19.2 Local Operators
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19.3 Extension of a Local Form to a Global Form
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19.4 Existence of an Exterior Differentiation
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19.5 Uniqueness of Exterior Differentiation
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19.6 The Restriction of a k-Form to a Submanifold
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19.7 A Nowhere-Vanishing 1-Form on the Circle
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19.8 Exterior Differentiation Under a Pullback
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Problems
Solution:
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Hint:
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Hint:
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Hint:
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Hint:
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Hint:
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Hint:
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Hint:
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Hint: