### 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.

#### Full Text:

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