Applied Mathematics and Mechanics

, Volume 22, Issue 4, pp 425–435 | Cite as

Dynamics in Newtonian-Riemannian space-time (II)

  • Zhang Rong-ye


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.

Key words

pseudo-Riemannian manifold Riemannian manifold absolute differential parallel displacement relativity covariance 

CLC number



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [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. [2]
    von Westenholz C.Differential Forms in Mathematical Physics[M]. Amsterdam, New York, Oxford: North-Holland Publishing Company, 1978, 198–207.Google Scholar
  3. [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. [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. [5]
    Weinberg S.Gravitation and Cosmology[M]. New York: John Wiley & Sons Inc, 1972, 1–169.Google Scholar
  6. [6]
    Schultz B F.Geometrical Methods of Mathematical Physics[M]. Bath Cambridge: Cambridge University Press, 1980, 201–219.Google Scholar
  7. [7]
    Eisenhart L P.An Introduction to Differential Geometry[M]. Princeton: Princeton University Press, 1947, 1–205.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

Personalised recommendations