Skip to main content
Log in

Newtonian Mechanics on Kähler Manifold

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper we discuss Newtonian Mechanics on Kähler Manifold, and also give the complex mathematical aspects of Newton's law, the law of kinetic energy, the law of kinetic quantity, the equation of motion and the “general equation of dynamics”, and so on.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. F. R. Gantmaher, Lecture of Analytical Mechanics, People's Education Press (1963), 1–161. (Chinese version)

  2. V. I. Arnold, Mathematical Methods of Classical Mechanics, Springer-Verlag (1978), 1–270.

  3. V. I. Arnold, Mathematical aspect of classical and celestial mechanics, Encylopaedia of Mathematical Sciencea, Volume 3, Dynamical Systems III, Springer-Verlag (1985), 1–48.

  4. W. D. Curtis and F. R. Miller, Differential Manifolds and Theoretical Physics., Academic Press. Inc. (1985), 1–191.

  5. B. A. Dubrorin, A. T. Fomenko and S. P. Novikov, Modern Geometry-Methods and Applications, Springer-Verlag,Part I (1984), 1–374; Part II (1984), 1–357.

  6. C. Von. Westenholz., Differential Forms in Mathematical Physics, North-Holland Publishing Company (1978), 335–439.

  7. S. S. Chern and W. W. Chen, Lecture on Differential Geometry, Peking University Press (1983). (in Chinese)

  8. Tanjiro Okubo, Differential Geometry, Marcel Dekker Inc. (1987), 1–272.

  9. R. O.Wells, Jr., Differential Analysis on Complex Manifolds, Springer-Verlag, New York Inc. (1980), 1–216.

    Google Scholar 

  10. KunihikoKodaira, Complex Manifolds and Deformation of Complex Structures, Springer-Verlag, New York Inc. (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Zhu Zhaoxuan

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rongye, Z. Newtonian Mechanics on Kähler Manifold. Appl Math Mech 17, 751–764 (1996). https://doi.org/10.1007/BF00189563

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00189563

Key words

Navigation