Normal frames for general connections on differentiable fibre bundles
arXiv:math/0405004 · doi:10.1016/j.geomphys.2005.04.018
Abstract
The theory of frames normal for general connections on differentiable bundles is developed. Links with the existing theory of frames normal for covariant derivative operators (linear connections) in vector bundles are revealed. The existence of bundle coordinates normal at a given point and/or along injective horizontal path is proved. A necessary and sufficient condition of existence of bundle coordinates normal along injective horizontal mappings is derived.
24 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. In version 2 some results are generalized and proved under weaker conditions. For other papers on the same topic view the "publication" pages at http://theo.inrne.bas.bg/~bozho/
References in corpus (6)
- Normal frames and the validity of the equivalence principle
- Is the principle of equivalence a principle?
- Normal frames and the validity of the equivalence principle. III. The case along smooth maps with separable points of self-intersection
- Normal frames for linear connections in vector bundles and the equivalence principle in classical gauge theories
- Normal frames and linear transports along paths in vector bundles
- Equivalence principle in classical electrodynamics