Some theorems related to the Jacobi variational principle of analytical dynamics
Bażański, Stanisław L.
arXiv, 0503072 / Harvested from arXiv
Text on arXiv
It is shown that there exists a commuting diagram of mappings between dynamics of classical systems on one side and variational principles for geodesic lines in stationary spacetimes of general relativity on the other. The construction of the mappings is based on classical Routh's and Jacobi's procedures and on corresponding inverse procedures which are reviewed in the paper.
Publié le : 2005-03-30
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  Primary: 70H30, 53B30. Secondary: 83C20, 53B50, 83-02 
@article{0503072,
     author = {Ba\.za\'nski, Stanis\l aw L.},
     title = {Some theorems related to the Jacobi variational principle of analytical
  dynamics},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503072}
}

Bażański, Stanisław L. Some theorems related to the Jacobi variational principle of analytical
  dynamics. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503072/