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Applied Mathematics and Mechanics

, Volume 22, Issue 4, pp 448–459 | Cite as

Dynamics in Newtonian-Riemannian space-time (IV)

  • Zhang Rong-ye
Article
  • 22 Downloads

Abstract

Lagrangian mechanics in Newtonian-Riemannian space-time and relationship between Lagrangian mechanics and Newtonian mechanics, and between Lagrangian mechanics and Hamiltonian mechanics in N-R space-time are discussed.

Key words

Riemannian manifold tangent bundle cotangent bundle fiber bundle fiber vector field form field exterior differential absolute differential Lie derivative functional variation 

CLC number

O313.1 

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References

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    Curtis W D, Miller F R.Differential Manifolds and Theoretical Physics[M]. Orlando, Florida: Academic Press, Inc, 1985.Google Scholar
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    Arnold V I.Mathematical Methods of Classical Mechanics[M]. New York: Springer-Verlag, 1978.Google Scholar
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    von Westenhoz C.Differential Forms in Mathematical Physics[M]. Amsterdam, New York, Oxford: North-Holland Publishing Company, 1978.Google Scholar
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    Schutz B F.Geometrical Methods of Mathematical Physics[M]. Bath, Cambridge: Cambridge University Press, 1980.Google Scholar
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    Burke W L.Applied Differential Geometry[M]. New York: Cambridge University Press, 1985.Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Zhang Rong-ye
    • 1
  1. 1.Institute of MathematicsAcademia SinicaBeijingP R China

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