Abstract
Differential forms are generalizations of real-valued functions on a manifold. Instead of assigning to each point of the manifold a number, a differential k-form assigns to each point a k-covector on its tangent space. For k = 0 and 1, differential k-forms are functions and covector fields respectively.
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© 2011 Springer Science+Business Media, LLC
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Tu, L.W. (2011). Differential Forms. In: An Introduction to Manifolds. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7400-6_6
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DOI: https://doi.org/10.1007/978-1-4419-7400-6_6
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Online ISBN: 978-1-4419-7400-6
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