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Connections of higher order and
TLDR
In this article, the authors consider a product preserving functor F of order r and a connection of order Ron a manifold M. They introduce horizontal lifts of tensor elds and linearconnections from MtoF(M)withrespectto.Abstract:
In this paper we consider a product preserving functor F of order r and a connection of order ron a manifold M. We introduce horizontal lifts of tensor elds and linearconnectionsfrom MtoF(M)withrespectto. Ourdenitionsandresultsgeneralize the particular cases of the tangent bundle and the tangent bundle of higher order.read more
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Natural bundles have finite order
TL;DR: In this paper, the category of n-dimensional smooth manifolds with smooth embeddings as morphisms is denoted by denoting the category whose objects are smooth fiber bundles r: E+B and whose morphisms are smooth bundle maps.
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