Differential Forms

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


This is a fundamental chapter, coming right after chapter 2 in importance. Differential forms are the most commonly encountered mathematical objects when one deals with manifolds: they occur naturally in geometry, physics, mechanics... After defining differential forms, we introduce exterior differentiation and pullbacks, and study their properties and their expression in local coordinates.


Projective Space Differential Form Volume Form Double Cover Coordinate Change 
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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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