The paper asserts canonical Weil-bundle lifts preserve a long list of geometric structures, but several new proofs rely on unproved bracket compatibility and the highlighted non-suspension example is actually a trivial suspension.
Morimoto, Prolongations of connections to bundles of infinitely near p oints, J
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Geometric structures on Weil bundles: Canonical differential-geometric constructions
The paper asserts canonical Weil-bundle lifts preserve a long list of geometric structures, but several new proofs rely on unproved bracket compatibility and the highlighted non-suspension example is actually a trivial suspension.