Normal frames and linear transports along paths in line bundles. Applications to classical electrodynamics
Abstract
Description
The definitions and some basic properties of the linear transports along paths in vector bundles and the normal frames for them are recalled. The formalism is specified on line bundles and applied to a geometrical description of the classical electrodynamics. The inertial frames for this theory are discussed.
14 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. An acknowledgement is added in v.2. For other papers on the same topic, view the "publication" pages at http://theo.inrne.bas.bg/~bozho/
14 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. An acknowledgement is added in v.2. For other papers on the same topic, view the "publication" pages at http://theo.inrne.bas.bg/~bozho/
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/math-ph/0603002
http://arxiv.org/abs/math-ph/0603002
In "Topics in contemporary diff. geometry, complex analysis and math. physics", Proc. of 8th Int. Workshop on "Complex Structures and Vector Fields", Bulgaria, 2006. Eds. St. Dimiev and K. Sekigava, World Scientific, 2007. pp.119--129
http://arxiv.org/abs/math-ph/0603002
In "Topics in contemporary diff. geometry, complex analysis and math. physics", Proc. of 8th Int. Workshop on "Complex Structures and Vector Fields", Bulgaria, 2006. Eds. St. Dimiev and K. Sekigava, World Scientific, 2007. pp.119--129