differential forms

(1.2 hours to learn)


Differential forms are multilinear functions on vector fields which satisfy certain properties analogous to determinants. They are used to define a notion of integration on manifolds.


This concept has the prerequisites:


  • Define differential forms in terms of multilinear functions on a vector space
  • Show that differential forms can be represented in terms of determinants of submatrices
  • Define the wedge product of differential forms
  • Be able to manipulate the wedge product algebraically

Core resources (read/watch one of the following)


See also

-No Additional Notes-