pullback

(45 minutes to learn)

Summary

Pullback is a mathematical operator which represents functions or differential forms on one space in terms of the corresponding object on another space. They are used to define surface integrals of differential forms.

Context

This concept has the prerequisites:

Goals

  • Define the pullback of a function and of a differential form
  • Show that the pullback commutes with the exterior derivative
  • Be able to manipulate pullback, wedge products, and the exterior derivative algebraically
  • Define the surface integral of a differential form in terms of pullback

Core resources (read/watch one of the following)

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See also

-No Additional Notes-