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GeometriaDifferenziale
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Do covector fields correspond to homomorphisms of $ \mathscr C^\infty $-modules from the sheaf of vector fields to the sheaf of smooth functions?
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Do covector fields correspond to homomorphisms of $ \mathscr C^\infty $-modules from the sheaf of vector fields to the sheaf of smooth functions?
I was expecting something more "canonical", but yeah glad to know things go like this. Why there's the need for the factor $ \exp(\lVert X(x) \rVert^2) $? It is to guarantee that the extension $ Z $ exits? (I tried to prove it, but I'm not very comfortable with these objects).
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Do covector fields correspond to homomorphisms of $ \mathscr C^\infty $-modules from the sheaf of vector fields to the sheaf of smooth functions?