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Exterior Algebra and Differential Forms

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Principal Bundles

Part of the book series: Universitext ((UTX))

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Abstract

We give a brief treatment of these topics. The crucial concept here is that of a differential k-form on a manifold. But before discussing that, we have to present a bit of exterior algebra.

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References

  1. I. Agricola and T. Friedrich, Global Analysis, Am. Math. Soc., Providence, 2002.

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  2. H. Flanders, Differential Forms with Applications to the Physical Sciences, Academic Press, 1963. (Reprinted by Dover, 1989.)

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  3. S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1962.

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  4. J.D. Jackson, Classical Electrodynamics, John Wiley & Sons, 2nd edition, 1975.

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  5. S. Lang, Fundamentals of Differential Geometry, Graduate Texts in Mathematics, Vol. 191, Springer, 1999.

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Sontz, S.B. (2015). Exterior Algebra and Differential Forms. In: Principal Bundles. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-14765-9_5

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