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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

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Homogeneous System
  • Symplectic Manifold
  • Lagrangian Submanifold
  • Integral Manifold
  • Differentiable Structure

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.

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

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References

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

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

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

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© 1980 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10275-5

  • Online ISBN: 978-3-540-38405-2

  • eBook Packages: Springer Book Archive