Horizontal lifts of tensor fields and connections to the tangent bundle of higher order
Tensor fields and connections on cross-sections in the frame bundle of second order of a parallelizable manifold.
Lifts of derivations to the frame bundle
The tangent bundle of -velocities over a homogeneous space
A global characterization of jet bundles of -velocities and covelocities
Connections of higher order and product preserving functors
In this paper we consider a product preserving functor of order and a connection of order on a manifold . We introduce horizontal lifts of tensor fields and linear connections from to with respect to . Our definitions and results generalize the particular cases of the tangent bundle and the tangent bundle of higher order.
Existence of -almost tangent structures
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