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Dynamics in Newtonian-Riemannian Space-Time (III)

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Abstract

The Hamiltonian mechanics in Newtonian-Riemannian space-time and its application to hydromechanics are discussed.

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References

  1. Gantmaher F. R. Lecture of Analytical mechanics [M]. ZHONG Feng-e, XUE Wen-xi transl. Beijing: People's Education Press,1963, 1-161. (Chinese version)

    Google Scholar 

  2. von Westenholz C. Differential Forms in Mathematical Physics[M]. Amsterdam, New York, Oxford: North-Holland Publishing Company,1978.

    Google Scholar 

  3. Olver P J. Applications of Lie Groups to Differential Equations[M]. New York: Springer-Verlag, 1986.

    Google Scholar 

  4. Burke W L. Applied Differential Geometry[M]. New York: Cambridge University Press,1985.

    Google Scholar 

  5. Schutz B F. Geometrical Methods of Mathematical Physics[M]. Bath, Cambridge: Cambridge University Press,1980.

    Google Scholar 

  6. Curtis W D, Miller F R. Differential Manifolds and Theoretical Physics[M]. Orlando, Florida: Acadmic Press Inc,1985.

    Google Scholar 

  7. Arnold V I. Mathematical Methods of Classical Mechanics[M]. New York: Springer-Verlag, 1978.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, Beijing, 100080, P R China

    Rong-ye Zhang

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  1. Rong-ye Zhang
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Zhang, Ry. Dynamics in Newtonian-Riemannian Space-Time (III). Applied Mathematics and Mechanics 22, 436–447 (2001). https://doi.org/10.1023/A:1016349601514

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  • DOI: https://doi.org/10.1023/A:1016349601514

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