On “special” fibred coordinates for general and classical connections

Volume 99 / 2010

Włodzimierz M. Mikulski Annales Polonici Mathematici 99 (2010), 99-105 MSC: 58A05, 58A20, 58A32. DOI: 10.4064/ap99-1-9


Using a general connection $\mit\Gamma$ 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.


  • Włodzimierz M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland

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