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Integration of Differential Forms

  • Marcel Berger
  • Bernard Gostiaux
Chapter
  • 2.7k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 115)

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.

Keywords

Euclidean Space Compact Support Differential Form Volume Form Affine Plane 
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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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Marcel Berger
    • 1
  • Bernard Gostiaux
    • 2
  1. 1.I.H.E.S.Bures-sur-YvetteFrance
  2. 2.Le PerreuxFrance

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