Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer Science+Business Media New York
About this chapter
Cite this chapter
Berger, M., Gostiaux, B. (1988). 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_6
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1033-7_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6992-2
Online ISBN: 978-1-4612-1033-7
eBook Packages: Springer Book Archive