Equivalent definitions for connections in higher order tangent bundles

Marcela Popescu, Paul P Popescu


We establish a one to one correspondence between the\linebreak connections $C^{(k-1)}$ (in the bundle $%
T^{k}M\rightarrow M$, used by R. Miron in his work on higher order spaces) and $C^{(0)}$ (in the affine bundle $%
T^{k}M\rightarrow T^{k-1}M$, used for example in \cite{CSC1}).


Higher order bundles, connections, fibered manifolds.

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1371