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Stokes’ Theorem

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Part of the Graduate Texts in Mathematics book series (GTM,volume 160)

Abstract

If X is a manifold and Y a submanifold, then any differential form on X induces a form on Y. We can view this as a very special case of the inverse image of a form, under the embedding (injection) map \( id:\,Y \to X. \)

Keywords

  • Compact Support
  • Open Neighborhood
  • Oriented Manifold
  • Small Cube
  • Base Disc

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.

Throughout the chapter, all manifolds are assumed finite dimensional. They may have a boundary.

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© 1995 Springer-Verlag New York, Inc.

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Lang, S. (1995). Stokes’ Theorem. In: Lang, S. (eds) Differential and Riemannian Manifolds. Graduate Texts in Mathematics, vol 160. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4182-9_12

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  • DOI: https://doi.org/10.1007/978-1-4612-4182-9_12

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8688-2

  • Online ISBN: 978-1-4612-4182-9

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