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Mathematics
General Math
Why are scalars and dual vectors 0- and 1-forms?
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[QUOTE="George Keeling, post: 6116703, member: 647945"] I am told: "A differential p-form is a completely antisymmetric (0,p) tensor. Thus scalars are automatically 0-forms and dual vectors (one downstairs index) are one-forms." Since an antisymmetric tensor is one where if one swaps any pair of indices the value of the component changes sign and 1) there are no indices to swap on a scalar and 2) on a dual vector swapping something with itself is not swapping, how are they automatically 0- and 1-forms? I have no problem with higher forms. [/QUOTE]
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Forums
Mathematics
General Math
Why are scalars and dual vectors 0- and 1-forms?
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