武际可. 力学的几何化[J]. 力学与实践, 2017, 39(4): 323-332. DOI: 10.6052/1000-0879-17-181
引用本文: 武际可. 力学的几何化[J]. 力学与实践, 2017, 39(4): 323-332. DOI: 10.6052/1000-0879-17-181
WU Jike. GEOMETRIZATION OF MECHAINICS[J]. MECHANICS IN ENGINEERING, 2017, 39(4): 323-332. DOI: 10.6052/1000-0879-17-181
Citation: WU Jike. GEOMETRIZATION OF MECHAINICS[J]. MECHANICS IN ENGINEERING, 2017, 39(4): 323-332. DOI: 10.6052/1000-0879-17-181

力学的几何化

GEOMETRIZATION OF MECHAINICS

  • 摘要: 本文介绍了力学发展过程中,力学理论系统的几何化.把力学的动力系统归结于黎曼几何、辛几何的几何课题,以及对偶概念、对称概念、变换和不变量概念在力学中的普遍应用.

     

    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.

     

/

返回文章
返回