Equivalent definitions for connections in higher order tangent bundles
Abstract
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}).
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}).
Keywords
Higher order bundles, connections, fibered manifolds.
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PDFDOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1371