Abstract
In the first two chapters, we have seen how problems in differential geometry and partial differential equations can often be recast as problems about integral manifolds of appropriate exterior differential systems. Moreover, in differential geometry, particularly in the theory and applications of the moving frame and Cartan’s method of equivalence, the problems to be studied often appear naturally in the form of an exterior differential system anyway.
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© 1991 Springer-Verlag New York Inc.
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Bryant, R.L., Chern, S.S., Gardner, R.B., Goldschmidt, H.L., Griffiths, P.A. (1991). Cartan-Kähler Theory. In: Exterior Differential Systems. Mathematical Sciences Research Institute Publications, vol 18. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9714-4_4
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DOI: https://doi.org/10.1007/978-1-4613-9714-4_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-9716-8
Online ISBN: 978-1-4613-9714-4
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