Abstract
We have seen that manifolds do not have a canonical measure, but it can be shown (6.1.3) that there is a canonical way of integrating a d-form over an oriented d-dimensional manifold. This is a fundamental fact. It provides the framework for Stokes’ theorem, an essential tool that relates submani-folds-with-boundary with their boundaries.
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© 1988 Springer Science+Business Media New York
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Berger, M., Gostiaux, B. (1988). Integration of Differential Forms. In: Differential Geometry: Manifolds, Curves, and Surfaces. Graduate Texts in Mathematics, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1033-7_7
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DOI: https://doi.org/10.1007/978-1-4612-1033-7_7
Publisher Name: Springer, New York, NY
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