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Differential Forms and Exterior Derivatives by Luigi Teixeira de Sousa is a document available to read on EtoBox.
The document discusses differential forms and exterior derivatives. It begins by tying up loose ends about Lie derivatives and their action on one-forms and scalar fields. It then introduces differential forms as totally anti-symmetric tensor fields. Exterior or wedge products are defined as totally anti-symmetric tensor products of forms. The space of r-forms is the vector space of totally anti-symmetric tensors of type (0,r). Finally, exterior derivatives are introduced as a map taking forms to forms.
- Author
- Luigi Teixeira de Sousa
- Language
- EN