| 释义 |
Differential k-FormA differential  -form is a Tensor of Rank which is antisymmetric under exchange of anypair of indices. The number of algebraically independent components in  -D is  , where this is aBinomial Coefficient. In particular, a 1-form (often simply called a ``differential'') is a quantity
 | (1) |
 and  are the components of a Covariant Tensor. Changing variables from to  gives
 | (2) |
 | (3) |
 | (4) |
 | (5) |
 is a 2-form denoted  . Changing variables  to  gives
 | (6) |
 | (7) |
Similarly, a 4-form can be constructed from Wedge Products of two 2-forms or four 1-forms
 | (9) |
References
Weintraub, S. H. Differential Forms: A Complement to Vector Calculus. San Diego, CA: Academic Press, 1996.
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