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Preliminaries

  • Robert L. Bryant
  • S. S. Chern
  • Robert B. Gardner
  • Hubert L. Goldschmidt
  • P. A. Griffiths
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 18)

Abstract

In this chapter we will set up some notations and conventions in exterior algebra, give a description of the basic topic of the book, and introduce the language of jets which allows easy passage between partial differential equations and exterior differential systems. In particular we establish some basic results in exterior algebra Theorems 1.3, 1.5, and 1.7 which will be used in Chapter II.

Keywords

Partial Differential Equation Integral Manifold Differentiable Manifold Exterior Algebra Differential Ideal 
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-Verlag New York Inc. 1991

Authors and Affiliations

  • Robert L. Bryant
    • 1
  • S. S. Chern
    • 2
  • Robert B. Gardner
    • 3
  • Hubert L. Goldschmidt
    • 4
  • P. A. Griffiths
    • 1
  1. 1.Department of MathematicsDuke UniversityDurhamUSA
  2. 2.Mathematical Sciences Research InstituteBerkeleyUSA
  3. 3.Department of MathematicsUniversity of North CarolinaChapel HillUSA
  4. 4.Department of MathematicsColumbia UniversityNew YorkUSA

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