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## Main Question or Discussion Point

I have Christoffel symbols for a metric and I want to find the connection 1-forms.

I have the relation:

w(^i j)=Chr(^i j k)*dx(^k)

w: conn. 1-form

Chr: Christoffel symbols

But Christoffel symbols do not share the symmetries of the conn. 1-forms. Do you know any way to make this possible?

I have the relation:

w(^i j)=Chr(^i j k)*dx(^k)

w: conn. 1-form

Chr: Christoffel symbols

But Christoffel symbols do not share the symmetries of the conn. 1-forms. Do you know any way to make this possible?