Frame-independent mechanics:geometry on affine bundles
Grabowska, K. ; Grabowski, J. ; Urbanski, P.
arXiv, 0510069 / Harvested from arXiv
Text on arXiv
Main ideas of the differential geometry on affine bundles are presented. Affine counterparts of Lie algebroid and Poisson structures are introduced and discussed. The developed concepts are applied in a frame-independent formulation of the time-dependent and the Newtonian mechanics.
Publié le : 2005-10-04
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  37J05,  53A40,  53D99,  55R10,  70H99 
@article{0510069,
     author = {Grabowska, K. and Grabowski, J. and Urbanski, P.},
     title = {Frame-independent mechanics:geometry on affine bundles},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510069}
}

Grabowska, K.; Grabowski, J.; Urbanski, P. Frame-independent mechanics:geometry on affine bundles. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510069/