Abstract
On a manifold, we obtain differential forms of degree 1 as sums of the products of a function g by the differential df of another function f,
Expressing this in terms of the local coordinates x1,…,xn, the above differential form reduces to the expression
If we change the local coordinate system, the coefficients a i transform as the components of a covector.
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© 1984 Springer-Verlag Berlin Heidelberg
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de Rham, G. (1984). Differential Forms. In: Differentiable Manifolds. Grundlehren der mathematischen Wissenschaften, vol 266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61752-2_3
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DOI: https://doi.org/10.1007/978-3-642-61752-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-61754-6
Online ISBN: 978-3-642-61752-2
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