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Dynamics in Newtonian-Riemannian space-time (II)

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Abstract

The relativity of motion and covariance of equation of motion in Newtonian-Riemannian space-time, some relationship between Newton's mechanics in N-R space-time and the general relativity, their difference and identity are discussed.

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Reference

  1. Dubruvin B A, Fomenko A T, Novikov S P,Modern Geometry—Methods and Application, Part I [M]. New York: Springer-Verlag, New York Inc, 1984, 1–310.

    Google Scholar 

  2. von Westenholz C.Differential Forms in Mathematical Physics[M]. Amsterdam, New York, Oxford: North-Holland Publishing Company, 1978, 198–207.

    Google Scholar 

  3. Boothby W M.An Introduction to Differentiable Manifold and Riemannian Geometry[M]. New York: Academic Press Inc (London) Ltd, 1975, 293–331.

    Google Scholar 

  4. Curtis W D, Miller F R.Differential Manifolds and Theoretical Physics[M]. Orlando, Florida: Academic Press Inc (London) Ltd, 1985, 213–217.

    Google Scholar 

  5. Weinberg S.Gravitation and Cosmology[M]. New York: John Wiley & Sons Inc, 1972, 1–169.

    Google Scholar 

  6. Schultz B F.Geometrical Methods of Mathematical Physics[M]. Bath Cambridge: Cambridge University Press, 1980, 201–219.

    Google Scholar 

  7. Eisenhart L P.An Introduction to Differential Geometry[M]. Princeton: Princeton University Press, 1947, 1–205.

    Google Scholar 

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Communicated by Chien Wei-zang

Biography: Zhang Rong-ye (1938−), Professor

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Rong-ye, Z. Dynamics in Newtonian-Riemannian space-time (II). Appl Math Mech 22, 425–435 (2001). https://doi.org/10.1007/BF02438308

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  • DOI: https://doi.org/10.1007/BF02438308

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