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Mechanics in Engineering ›› 2017, Vol. 39 ›› Issue (4): 323-332.doi: 10.6052/1000-0879-17-181

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GEOMETRIZATION OF MECHAINICS

WU Jike   

  1. Departmemt of Mechanics and Engineering sciences, Peking University, Beijing 100871, China
  • Received:2017-05-11 Online:2017-08-15 Published:2017-08-10

Abstract:

In the development of mechanics, the geometrization of theoretical systems of mechanics, is introduced. Dynaminc systems of mechanics reduced to Riemann geometry and Symplectic geometry are presented, the concepts of duel space, symmetry, transform, invariant, and there general applications in mechanics are introducd.

Key words:

mechanics|geometrization|duel space|Riemann geometry|Symplectic geometry|transformation|invariant

CLC Number: 

  • O302