Skip to main content

Some old and new techniques for the practical use of exterior differential forms

Part of the Lecture Notes in Mathematics book series (LNM,volume 515)

Keywords

  • Closed Ideal
  • Exterior Derivative
  • Integral Manifold
  • Order Partial Differential Equation
  • Cotangent Space

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. É. CATAN, Les Systèmes Différentiel Extérieurs et Leurs Applications Géométriques, Hermann, Paris, 1946.

    Google Scholar 

  2. J.A. SCHOUTEN AND W.v.d. KULK, Pfaff’s Problem and Its Generalizations, Clarendon Press, Oxford, 1949.

    MATH  Google Scholar 

  3. R. HERMANN, Differential Geometry and the Calculus of Variations, Academic Press, New York, New York, 1968. R. HERMAN, Advances in Math. 1 (1965), 265–317. R. HERMANN Lectures in Mathematical Physics, Vol. II, W. A. Benjamin, Reading, Mass., 1972. R. HERMANN Geometry, Physics and Systems, Marcel Dekker, New York, N. Y., 1973. R. HERMANN Interdisciplinary Mathematics, Vol. I—IX, Math Sci Press, 18 Gibbs Street, Brookline, Mass. 02146, 1973.

    MATH  Google Scholar 

  4. W. ŚLEBODZIŃSKI, Exterior Forms and Their Applications, Polish Scientific Publishers, Warsaw, 1970.

    MATH  Google Scholar 

  5. F.B. ESTABROOK, Comments on generalized Hamiltonian, dynamics, Phys. Rev. D 8 (1973), 2740–2743.

    CrossRef  MathSciNet  Google Scholar 

  6. F.B. ESTABROOK AND H.D. WAHLQUIST, The geometric approach to sets of ordinary differential equations and Hamiltonian dynamics, SIAM Rev. 17 (1975), 201–220.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. B.K. HARRISON AND F. B. ESTABROOK, Geometric approach to invariance groups and solution of partial differential systems, J. Mathematical Phys. 12 (1971), 653–666.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. H.D. WAHLQUIST AND F.B. ESTABROOK, Prolongation structures of nonlinear evolution equations, J. Mathematical Phys. 16 (1975), 1–7.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. -, Bäcklund transformation for solutions of the Korteweg-deVries equation, Phys. Rev. Lett. 31 (1973), 1386–1390.

    CrossRef  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Estabrook, F.B. (1976). Some old and new techniques for the practical use of exterior differential forms. In: Miura, R.M. (eds) Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications. Lecture Notes in Mathematics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081166

Download citation

  • DOI: https://doi.org/10.1007/BFb0081166

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07687-2

  • Online ISBN: 978-3-540-38220-1

  • eBook Packages: Springer Book Archive