Foundations of Physics

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

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

  • Ulvi Yurtsever


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.


Variational Principle Classical Mechanic Precise Statement Geometric Theory Minimum Principle 
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  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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