Skip to main content
SpringerLink
Log in

The geometrical meaning and globalization of the Hamilton-Jacobi method

  • Part I Proceedings Of The International Colloquium Of The C.N.R.S. Held At Aix-en-Provence, September 3–7, 1979 Edited By J.M. Souriau
  • Conference paper
  • First Online:
Differential Geometrical Methods in Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 836))

Abstract

This lecture gives an incomplete short account of a research on geometric foundations of analytical mechanics conducted at the Institute of Mathematical Physics and Institute of Rational Mechanics in Turin.

The present research has been sponsored by Consiglio Nazionale delle Ricerche — Gruppo Nazionale per la Fisica Matematica (CNR — GNFM).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.Abraham & J.Marsden, Foundations of Mechanics, Benjamin-Cummings (1978).

    Google Scholar 

  2. C.Carathéodory, Calculus of variations and partial differential equations of first order, Part I, Holden-Day (1965).

    Google Scholar 

  3. P.A.M. Dirac, Canad. J. Math., 2 (1950), 129–148.

    Article  MathSciNet  Google Scholar 

  4. A. Lichnerowicz, C. R. Acad. Sci. Paris, A-280 (1975), 523–527.

    MathSciNet  Google Scholar 

  5. M.R. Menzio & W.M. Tulczyjew, Ann. Inst. H. Poincaré, 27 (1978), 349–367.

    MathSciNet  Google Scholar 

  6. [6].-J. Sniatycki & W.M. Tulczyjew, Indiana Univ. Math. J., 22 (1972), 267–275.

    Article  MathSciNet  Google Scholar 

  7. A.Weinstein, Lectures on Symplectic Manifolds, CBMS Regional Conferences, 29 (1976), A.M.S..

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto di Meccanica Razionale Istituto di Fisica Matematica, Università di Torino, Italy

    S. Benenti & W. M. Tulczyjew

Authors
  1. S. Benenti
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. M. Tulczyjew
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

P. L. García A. Pérez-Rendón J. M. Souriau

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Benenti, S., Tulczyjew, W.M. (1980). The geometrical meaning and globalization of the Hamilton-Jacobi method. In: García, P.L., Pérez-Rendón, A., Souriau, J.M. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089724

Download citation

  • DOI: https://doi.org/10.1007/BFb0089724

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10275-5

  • Online ISBN: 978-3-540-38405-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation