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Week 6.pdf

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Preview of Week 6
🔗 Source: math.tecnico.ulisboa.pt
📊 Size: 119 KB
📄 Pages: 1 page
⬇️ Downloads: 68

Summary

1. Compute the integral of the differential of a given 2-form over a 3-dimensional manifold with boundary using the definition of integral and Stokes Theorem.
2. For a given 1-form on a compact 1-dimensional manifold (a circle), show that its differential is 0, its integral over the circle is 2π, and there's no smooth map from R2 to R2 with its image in the circle and restricting to the identity on the circle.

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  • File Format: PDF
  • File Size: 119 KB
  • Pages: 1
  • Language: EN
  • Total Downloads: 68
  • Last Updated: 2 hours ago

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