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Main Question or Discussion Point
Hello,
We defined a kform on a smooth manifold M as a transfromation
Where the right space is the one of the alternating klinear forms over the tangent space in p.
If we suppose we know, that we get a basis of this space by using the wedgeproduct and a basis of the dual space, then we might get for a given form:
Can someone explain to me what the coefficient in this linear combination is? I know that they are functions and in some cases scalars. But I don't know the cases. According to the definition at the beginning I suppose, that they are funtions for a given p and become scalars if we have argument values of the tangent space. Is this correct?
Greetings
Maxi
We defined a kform on a smooth manifold M as a transfromation
Where the right space is the one of the alternating klinear forms over the tangent space in p.
If we suppose we know, that we get a basis of this space by using the wedgeproduct and a basis of the dual space, then we might get for a given form:
Can someone explain to me what the coefficient in this linear combination is? I know that they are functions and in some cases scalars. But I don't know the cases. According to the definition at the beginning I suppose, that they are funtions for a given p and become scalars if we have argument values of the tangent space. Is this correct?
Greetings
Maxi
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