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Foundations of Physics

, Volume 13, Issue 5, pp 529–537 | Cite as

Comments on “A more precise statement of Hamilton's principle”

  • Ulvi Yurtsever
Article

Abstract

Among the problems C. D. Bailey has questioned in a recent paper (Ref. 1) are a precise and general formulation of Hamilton's variational principle and the establishment of a sufficiency criterion for this to be a minimum principle. In this paper, we will try to answer these questions using the geometric theory of classical mechanics.

Keywords

Variational Principle Classical Mechanic Precise Statement Geometric Theory Minimum Principle 
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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References

  1. 1.
    C. D. Bailey,Found. Phys. 11, 279 (1981).Google Scholar
  2. 2.
    F. Warner,Foundations of Differentiable Manifolds and Lie Groups (Scott and Foresman, Genview, Ill., 1971).Google Scholar
  3. 3.
    V. I. Arnold,Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1978).Google Scholar
  4. 4.
    S. Kobayashi and K. Nomizu,Foundations of Differential Geometry (Interscience (Wiley), New York, 1963 and 1969), Volumes I and II.Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • Ulvi Yurtsever
    • 1
  1. 1.Department of PhysicsMiddle East Technical UniversityAnkaraTurkey

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