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On holonomicity criteria in second order geometry. (English) Zbl 0923.58003
From the abstract: “We introduce the intrinsic exterior differential of the contact morphism on the first jet prolongation of a fibered manifold $$Y$$. Using this concept, we deduce a holonomicity criterion for the second semi-holonomic prolongation of $$Y$$ and we clarify that this is related to several classical procedures”.
MSC:
 58A20 Jets in global analysis 53C05 Connections (general theory) 53C10 $$G$$-structures
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