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Differential Forms

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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.

Keywords

  • Tangent Space
  • Differential Form
  • Local Operator
  • Cotangent Bundle
  • Smooth Vector

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-1-4419-7400-6_6
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Correspondence to Loring W. Tu .

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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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