Abstract
Differential forms are often introduced purely algebraically (Spivak [1], Gunning-Rossi [1]), as members of a graded ring, or simply as “formal sums” that are to be manipulated according to the rules of “exterior algebra,” but they can also be defined as complex-valued functions whose domain is the collection of all suitably differentiable surfaces of the appropriate dimension. We shall sketch this second approach, omitting all proofs; they are elementary, but long-winded and repetitious. Details may be found in Rudin [16]. The main purpose of this introductory section is to recall the basic facts and to establish notation.
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© 1980 Springer-Verlag New York Inc.
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Rudin, W. (1980). The \(\bar \partial \)-Problem. In: Function Theory in the Unit Ball of ℂn. Grundlehren der mathematischen Wissenschaften, vol 241. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8098-6_16
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DOI: https://doi.org/10.1007/978-1-4613-8098-6_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8100-6
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