On “special” fibred coordinates for general and classical connections
Tom 99 / 2010
Annales Polonici Mathematici 99 (2010), 99-105
MSC: 58A05, 58A20, 58A32.
DOI: 10.4064/ap99-1-9
Streszczenie
Using a general connection on a fibred manifold p:Y\to M and a torsion free classical linear connection \nabla on M, we distinguish some “special” fibred coordinate systems on Y, and then we construct a general connection \widetilde{\mathcal{F}}({\mit\Gamma},\nabla) on Fp:FY\rightarrow FM for any vector bundle functor F: \mathcal{M}f\rightarrow\mathcal{V}\mathcal{B} of finite order.
