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A one-form versus a dual basis vector

  1. Apr 17, 2012 #1
    Hi everyone,

    Pardon the neophyte question, but is a one-form the same thing as a dual basis vector? If not, are they related in some way, or completely different concepts/entities?

    Thank you!
  2. jcsd
  3. Apr 17, 2012 #2


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    Gold Member

    Welcome to PF.

    The dual basis vectors are 1-forms, but not all 1-forms are dual basis vectors. In fact given a set of dual basis vectors we can construct any number of 1-forms.
  4. Apr 17, 2012 #3
    Dual basis vectors are to one-forms as basis vectors are to vectors.
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