24 November - 30 November
Section outline
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Lecture 11:
- Flows of smooth vector fields: fundamental theorem and examples of (non)global flows
- Complete vector fields: definition and (non)examples
- The cotangent bundle of a smooth manifold
- Differential 1-forms aka smooth covector fields (= smooth sections of the cotangent bundle)
- The differential of a smooth function
Info: For various nice pictures of flows of smooth vector fields, see Integral Curves (p. 207) and Regular Points and Singular Points (p. 221).
Important info: This week's exercise session is cancelled; see Linus' email (26.11.2025, 16:13) for useful info regarding its replacement.
