Differential Forms, Stokes Theorem

Celso Melchiades Doria ()
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Celso Melchiades Doria: Universidade Federal de Santa Catarina, Department of Mathematics, CFM

Chapter Chapter 6 in Differentiability in Banach Spaces, Differential Forms and Applications, 2021, pp 231-280 from Springer

Abstract: Abstract We will introduce the algebra $$\Omega ^{*}(U)$$ Ω ∗ ( U ) of differential forms on an open subset $$U\subset \mathbb {R}^{n}$$ U ⊂ R n , although the formalism to define it on a submanifold of $$\mathbb {R}^{n}$$ R n is the same.

Date: 2021
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DOI: 10.1007/978-3-030-77834-7_6

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